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Publications:

  1. D. Ilišević, C.K. Li and E. Poon, Generalized circular projections, J. Math. Anal. Appl. 515 (2022), 126378, 20 p.
  2. D. Ilišević and A. Turnšek, Nonlinear Birkhoff-James orthogonality preservers in smooth normed spaces, J. Math. Anal. Appl. 511 (2022), 126045, 10 p.
  3. F. Botelho and D. Ilišević, On isometries with finite spectrum, J. Operator Theory 86 (2021), 255-273
  4. D. Ilišević and A. Turnšek, A variant of Wigner's theorem in normed spaces, Mediterr. J. Math. 18 (2021), 11 pp.
  5. D. Ilišević, M. Omladič and A. Turnšek, Phase-isometries between normed spaces, Linear Algebra Appl. 612 (2021), 99-111
  6. D. Ilišević and A. Turnšek, On Wigner's theorem in smooth normed spaces, Aequ. Math. 94 (2020), 1257-1267
  7. D. Ilišević and A. Turnšek, On Wigner's theorem in strictly convex normed spaces, Publ. Math. Debrecen 97 (2020), 393-401
  8. D. Ilišević and M. Ptak, Conjugations on Banach *-algebras, Ann. Funct. Anal. 11 (2020), 1274-1286
  9. F. Botelho, P. Dey and D. Ilišević, Hermitian projections on some Banach spaces and related topics, Linear Algebra Appl. 598 (2020), 92-104
  10. D. Ilišević, B. Kuzma, C.K. Li and E. Poon, Complexifications of real Banach spaces and their isometries, Linear Algebra Appl. 589 (2020), 222-241
  11. D. Ilišević and L. Oliveira, When is a finite sum of box operators on a JB*-triple a Hermitian projection?, in Recent Trends in Operator Theory and Applications, Contemporary Mathematics, vol. 737, Amer. Math. Soc., Providence, RI, 2019, pp. 107-117
  12. D. Ilišević and B. Kuzma, On square roots of isometries, Linear Multilinear Algebra 67 (2019), 1898-1921
  13. D. Ilišević, B. Kuzma, C.K. Li and E. Poon, Preservers of isometries, Acta Sci. Math. (Szeged) 84 (2018), 3-17
  14. D. Ilišević and A. Turnšek, On superstability of the Wigner equation, Linear Algebra Appl. 542 (2018), 391-401
  15. D. Ilišević, C. N. Liu and N. C. Wong, Generalized n-circular projections on JB*-triples and Hilbert C0(Ω)-modules, Concr. Oper. 4 (2017), 109-120
  16. D. Ilišević, Generalized n-circular projections on JB*-triples, in Problems and Recent Methods in Operator Theory, Contemporary Mathematics, vol. 687, Amer. Math. Soc., Providence, RI, 2017, pp. 157-165
  17. J. Čuka and D. Ilišević, Generalized tricircular projections on minimal norm ideals in B(H), J. Math. Anal. Appl. 434 (2016), 1813-1825
  18. D. Ilišević and A. Turnšek, A quantitative version of Herstein's theorem for Jordan *-isomorphisms, Linear Multilinear Algebra 64 (2016), 156-168
  19. D. Ilišević, C. N. Liu and N. C. Wong, When the average of composition operators being a projection, J. Nonlinear Convex Anal. 16 (2015), 1353-1362
  20. D. Ilišević and A. Turnšek, Stability of the Wigner equation - a singular case, J. Math. Anal. Appl. 429 (2015), 273-287
  21. D. Ilišević, A. Turnšek and D. Yang, Orthogonally additive mappings on Hilbert modules, Studia Math. 221 (2014), 209-229
  22. D. Eremita, I. Gogić and D. Ilišević, Generalized skew derivations implemented by generalized elementary operators, Algebr. Represent. Theory 17 (2014), 983-996
  23. D. Ilišević and N. Thome, When is the hermitian / skew-hermitian part of a matrix a potent matrix?, Electron. J. Linear Algebra 24 (2012), 95-112
  24. D. Eremita and D. Ilišević, On (anti-)multiplicative generalized derivations, Glasnik Mat. 47(67) (2012), 105-118
  25. D. Ilišević, A generalization of the original Jordan - von Neumann theorem, Acta Math. Hungar. 132 (2011), 387-400
  26. A. Fošner and D. Ilišević, Generalized bicircular projections via rank preserving maps on the spaces of symmetric and antisymmetric operators, Oper. Matrices 5 (2011), 239-260
  27. D. Ilišević, Generalized bicircular projections on JB*-triples, Linear Algebra Appl. 432 (2010), 1267-1276
  28. M. Fošner and D. Ilišević, On Jordan triple derivations and related mappings, Mediterr. J. Math. 5 (2008), 415-427
  29. D. Ilišević, Generalized bicircular projections via the operator equation X2AY2+XAY+A = 0, Linear Algebra Appl. 429 (2008), 2025-2029
  30. J. Chmieliński, D. Ilišević, M. S. Moslehian and Gh. Sadeghi, Perturbation of the Wigner equation in inner product C*-modules, J. Math. Phys. 49 (2008), no. 3, 033519, 8 pp.
  31. D. Ilišević and A. Turnšek, Approximately orthogonality preserving mappings on C*-modules, J. Math. Anal. Appl. 341 (2008), 298-308
  32. D. Ilišević and S. Varošanec, On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules, Banach J. Math. Anal. 1 (2007), 78-84
  33. S. Banić, D. Ilišević and S. Varošanec, Bessel and Grüss type inequalities in inner product modules, Proc. Edinb. Math. Soc. (2) 50 (2007), 23-36
  34. M. Fošner, D. Ilišević and C.K. Li, G-invariant norms and bicircular projections, Linear Algebra Appl. 420 (2007), 596-608
  35. D. Eremita and D. Ilišević, On additivity of centralisers, Bull. Austral. Math. Soc. 74 (2006), 177-184
  36. D. Ilišević, Quadratic functionals on modules over alternative *-rings, Studia Sci. Math. Hungar. 42 (2005), 459-469
  37. D. Ilišević and S. Varošanec, Grüss type inequalities in inner product modules, Proc. Amer. Math. Soc. 133 (2005), 3271-3280
  38. M. Fošner and D. Ilišević, On a class of projections on *-rings, Comm. Algebra 33 (2005), 3293-3310
  39. D. Ilišević, Quadratic functionals on modules over complex Banach *-algebras with an approximate identity, Studia Math. 171 (2005), 103-123
  40. D. Ilišević, Quadratic functionals on modules over *-rings, Studia Sci. Math. Hungar. 42 (2005), 95-105
  41. D. Ilišević, On Quadratic Functionals: From *-rings to a Class of Banach *-algebras, Functional analysis VIII. Proceedings of the Postgraduate School and Conference held at the Inter-University Centre, Dubrovnik, Croatia, 15-22 June 2003, University of Aarhus, Department of Mathematical Sciences, Aarhus, 110-115
  42. D. Ilišević, Equations arising from Jordan *-derivation pairs, Aequationes Math. 67 (2004), 236-240
  43. D. Ilišević, Molnár-dependence in a pre-Hilbert module over an H*-algebra, Acta Math. Hungar. 101 (2003), 69-78
  44. D. Ilišević, A new approach to the Jordan-von Neumann type theorem for pre-Hilbert modules over H*-algebras, Functional analysis VII. Proceedings of the Postgraduate School and Conference held at the Inter-University Centre, Dubrovnik, Croatia, 17-26 September 2001, University of Aarhus, Department of Mathematical Sciences, Aarhus, 121-128
  45. D. Ilišević, On redundance of one of the axioms of a generalized normed space, Glasnik Mat. 37(57) (2002), 133-139

Conference talks:

  1. Surjective isometries of C*-algebras and their spectra (Plenary Speaker), Conference on Functional Analysis and Fractals (CFAF-2024), at IIIT Allahabad, India, February 2024 (via video link), poster
  2. Isometries and their square roots - from the Euclidean plane to various normed spaces and back, 23rd Scientific-Professional Colloquium on Geometry and Graphics, Vinkovci, Croatia, September 2023
  3. On nonlinear Birkhoff-James orthogonality preservers (invited), Workshop on Operator Theory, Complex Analysis, and Applications 2023 - WOTCA 2023, Évora, Portugal, July 2023
  4. On Banach space isometries with finite spectrum (Invited Speaker), 7th Croatian Mathematical Congress, Split, Croatia, June 2022, poster
  5. Nonlinear Birkhoff-James orthogonality preservers and the Wigner equation (invited), Research on preserver problems on Banach algebras and related topics, RIMS, Kyoto, Japan, October 2021 (via video link)
  6. On isometries and beyond (Plenary Speaker), Trends in Operator Theory and its Applications - TOTA 2021, A Workshop for Young Researchers, Lisbon, Portugal, June 2021 (via video link)
  7. Wigner's theorem in normed spaces (invited to a minisymposium Recent Developments on Preservers), 8th European Congress of Mathematics, Portorož, Slovenia, June 2021 (via video link)
  8. Generalizations of Wigner's unitary-antiunitary theorem (Invited Speaker), Workshop on Operator Theory, Complex Analysis, and Applications 2021 - WOTCA 2021, Lisbon, Portugal, June 2021 (via video link)
  9. Pre-Hilbert modules, normed modules and the parallelogram law (invited), Hilbert C*-Modules Online Weekend, Moscow, Russia, December 2020 (via video link)
  10. On isometries and projections on some Banach spaces (Invited Speaker), Women of mathematics on the Mediterranean shores, Bled, Slovenia, September 2019
  11. An inverse eigenvalue problem for isometries (invited to a special session Linear Operators and Function Spaces), International Workshop on Operator Theory and its Applications (IWOTA 2019), Lisbon, Portugal, July 2019
  12. Isometries, projections and related maps on JB*-triples (invited to a special session Preserver Problems in Operator Theory and Functional Analysis), International Workshop on Operator Theory and its Applications (IWOTA 2019), Lisbon, Portugal, July 2019
  13. Surjective linear isometries with finite spectrum (invited), Preserver Weekend in Szeged, Szeged, Hungary, April 2019
  14. When is a finite sum of box operators a Hermitian projection?, Operator Days, Zagreb, Croatia, February 2019
  15. On surjective linear isometries with finite spectrum (invited), 2018 China-Korea International Conference on Matrix Theory with Applications (ICMTA2018), Shanghai, China, December 2018
  16. On isometric roots of isometries (Invited Speaker), 6th Summer Workshop on Operator Theory, Kraków, Poland, July 2018, poster
  17. Complexifications of real Banach spaces and their isometries (Invited Speaker), Workshop on Operator Theory, Complex Analysis, and Applications 2018 - WOTCA 2018, Guimarães, Portugal, June 2018
  18. Three topics in isometries (Invited Speaker), Preservers: Modern Aspects and New Directions, Belfast, United Kingdom, June 2018
  19. On isometries on some Banach spaces - something old, something new, something borrowed, something blue: Part I and Part II (Plenary Speaker), Recent Trends in Operator Theory and Applications, Memphis, Tennessee, USA, May 2018
  20. Isometries with finite spectrum on continuous functions (Invited Speaker), Workshop on Operator Theory, Complex Analysis, and Applications / WOTCA 2017, Lisbon, Portugal, July 2017
  21. On square roots of isometries, Preservers Everywhere, Szeged, Hungary, June 2017
  22. On projections arising from isometries with finite spectrum on Banach spaces (Invited Speaker), 8th Linear Algebra Workshop, Ljubljana, Slovenia, June 2017
  23. On a Banach space substitute of the orthogonal projections on Hilbert spaces (Invited Speaker), Methods in Operator Theory and Applications, Memphis, Tennessee, USA, April 2017
  24. Stability of the Wigner equation - a singular case (invited to a minisymposium Recent Developments in Non-linear Preservers), 20th Conference of the International Linear Algebra Society (ILAS), Leuven, Belgium, July 2016
  25. On generalized n-circular projections (Invited Speaker), 13th Advanced Course in Operator Theory and Complex Analysis (ACOTCA 2016), Lyon (Ville-sur-Jarnioux), France, June 2016, poster
  26. Generalized Bicircular and Generalized Tricircular Projections (invited to a special session on Advances in Operator Theory and Applications, in memory of James Jamison), AMS Sectional Meeting, Memphis, Tennessee, USA, October 2015
  27. Generalizations and Specializations in Operator Theory (Plenary Speaker), Problems and Recent Methods in Operator Theory, Memphis, Tennessee, USA, October 2015
  28. On some geometrical preserver problems and their stability, 18th Scientific Professional Colloquium on Geometry and Graphics, Beli Manastir, Croatia, September 2015
  29. Derivations, homomorphisms and elementary operators, Workshop on Number Theory and Algebra (on the occasion of 60th birthday of Professor Ivica Gusić), Zagreb, Croatia, November 2014
  30. Generalized bicircular projections, International Workshop on Operator Theory 2014, Belfast, United Kingdom, September 2014
  31. Orthogonally additive mappings on Hilbert C*-modules, Zagreb Workshop on Operator Theory, Zagreb, Croatia, July 2014
  32. Inequalities in Hilbert modules and Hilbert spaces - similarities and differences, Mathematical Inequalities and Applications 2014, Trogir, June 2014
  33. Orthogonally additive mappings on Hilbert C*-modules, 15th International Conference on Functional Equations and Inequalities, Ustroń, Poland, May 2013
  34. Derivations, automorphisms and elementary operators, 5th Croatian Mathematical Congress, Rijeka, Croatia, June 2012
  35. Generalized bicircular projections on some matrix and operator spaces, 6th Linear Algebra Workshop, Kranjska Gora, Slovenia, May-June 2011
  36. Generalized bicircular projections on some matrix and operator spaces, Applied Linear Algebra (ALA 2010) in honor of Hans Schneider, Novi Sad, Serbia, May 2010
  37. Generalized bicircular projections on JB*-triples, Operators, Spaces, Algebras, Modules, Zagreb, Croatia, March 2010
  38. On some functional equations related to bicircular projections, 47th International Symposium on Functional Equations, Gargnano, Italy, June 2009
  39. On bicircular projections, 4th Croatian Mathematical Congress, Osijek, Croatia, June 2008
  40. Quadratic functionals and sesquilinear forms, 11th International Conference on Functional Equations and Inequalities, Bedlewo, Poland, September 2006
  41. On functional equations arising from some problems in algebra and analysis, Hungarian-Croatian Workshop on Mathematics and Informatics, Debrecen, Hungary, October 2005
  42. Bicircular projections on C*-algebras, Functional analysis IX, Dubrovnik, Croatia, June 2005
  43. On a class of projections on *-rings, Linear Algebra Workshop, Bled, Slovenia, May 2005
  44. Quadratic functionals and sesquilinear forms, Third Croatian Congress of Mathematics, Split, Croatia, June 2004
  45. Quadratic functionals on modules over complex Banach *-algebras possessing an approximate identity, Functional analysis VIII, Dubrovnik, Croatia, June 2003
  46. On a generalization of the Jordan - von Neumann theorem, 3rd Linear Algebra Workshop, Bled, Slovenia, June 2002
  47. A new approach to the Jordan - von Neumann theorem on a generalized normed space, Functional analysis VII, Dubrovnik, Croatia, September 2001

Colloquium, seminar and similar talks:

  1. Izometrije i izomorfizmi [in Croatian], Scientific Colloquium Zdenka Blašković-Makanec, EWM Croatia, Zagreb, 7.3.2024.
  2. On isometries and related mappings, Alps-Adria Seminar for Analysis and Algebra, University of Ljubljana, Slovenia, 26.11.2022.
  3. An infinite dimensional inverse eigenvalue problem and related topics, Lorentz Center, The Netherlands (via video link), 20.5.2021.
  4. On isometries on some Banach spaces and their spectrum, Departmental Colloquium, Ramakrishna Mission Vivekananda Educational and Research Institute, India (via video link), 16.4.2021.
  5. An inverse eigenvalue problem for isometries, Preserver Webinar (via video link), 30.9.2020.
  6. On Hermitian projections and isometries with finite spectrum, University of Reading, United Kingdom (via video link), 1.5.2020.
  7. On some generalizations of Hilbert spaces and C*-algebras, University of Memphis, Tennessee, USA, 24.4.2017.
  8. On generalized n-circular projections, University of Szeged, Hungary, 17.2.2016.
  9. Generalized bicircular projections, University of Primorska, Koper, Slovenia, 22.4.2013.
  10. On bicircular projections and related mappings, University of Maribor, Slovenia, 15.2.2012.
  11. Generalized bicircular projections, University of Debrecen, Hungary, 7.4.2011.
  12. Bicirkularni projektori i njima bliske klase projektora [in Croatian], University of Osijek, Croatia, 12.11.2009.
  13. Bicirkularni projektori [in Croatian], University of Zagreb, Croatia, 6.5.2009.
  14. Nejednakosti u modulima nad H*-algebrama i C*-algebrama [in Croatian], University of Split, Croatia, 16.3.2006.
  15. On centralizers, derivations and quadratic functionals, University of Maribor, Slovenia, 1.12.2004.
  16. On a class of projections on *-rings, University of Maribor, Slovenia, 12.5.2004.
  17. Pre-Hilbert modules and pre-Hilbert spaces - similarities and differences, University of Maribor, Slovenia, 14.4.2004.
  18. Quadratic functionals and sesquilinear forms, University of Maribor, Slovenia, 14.1.2004.
  19. On generalizations of pre-Hilbert spaces and normed spaces, University of Ljubljana, Slovenia, 11.12.2003.
  20. Kvadratni i seskvilinearni funkcionali [in Croatian], University of Osijek, Croatia, 9.1.2003.

Editorial boards:

Referee for: