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Publications:

  1. D. Ilišević and B. Kuzma, On square roots of isometries, Linear Multilinear Algebra 67 (2019), 1898-1921
  2. D. Ilišević, B. Kuzma, C.K. Li and E. Poon, Preservers of isometries, Acta Sci. Math. (Szeged) 84 (2018), 3-17
  3. D. Ilišević and A. Turnšek, On superstability of the Wigner equation, Linear Algebra Appl. 542 (2018), 391-401
  4. 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
  5. 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
  6. J. Čuka and D. Ilišević, Generalized tricircular projections on minimal norm ideals in B(H), J. Math. Anal. Appl. 434 (2016), 1813-1825
  7. D. Ilišević and A. Turnšek, A quantitative version of Herstein's theorem for Jordan *-isomorphisms, Linear Multilinear Algebra 64 (2016), 156-168
  8. 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
  9. D. Ilišević and A. Turnšek, Stability of the Wigner equation - a singular case, J. Math. Anal. Appl. 429 (2015), 273-287
  10. D. Ilišević, A. Turnšek and D. Yang, Orthogonally additive mappings on Hilbert modules, Studia Math. 221 (2014), 209-229
  11. D. Eremita, I. Gogić and D. Ilišević, Generalized skew derivations implemented by generalized elementary operators, Algebr. Represent. Theory 17 (2014), 983-996
  12. 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
  13. D. Eremita and D. Ilišević, On (anti-)multiplicative generalized derivations, Glasnik Mat. 47(67) (2012), 105-118
  14. D. Ilišević, A generalization of the original Jordan - von Neumann theorem, Acta Math. Hungar. 132 (2011), 387-400
  15. 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
  16. D. Ilišević, Generalized bicircular projections on JB*-triples, Linear Algebra Appl. 432 (2010), 1267-1276
  17. M. Fošner and D. Ilišević, On Jordan triple derivations and related mappings, Mediterr. J. Math. 5 (2008), 415-427
  18. D. Ilišević, Generalized bicircular projections via the operator equation X2AY2+XAY+A = 0, Linear Algebra Appl. 429 (2008), 2025-2029
  19. 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.
  20. D. Ilišević and A. Turnšek, Approximately orthogonality preserving mappings on C*-modules, J. Math. Anal. Appl. 341 (2008), 298-308
  21. 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
  22. 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
  23. M. Fošner, D. Ilišević and C.K. Li, G-invariant norms and bicircular projections, Linear Algebra Appl. 420 (2007), 596-608
  24. D. Eremita and D. Ilišević, On additivity of centralisers, Bull. Austral. Math. Soc. 74 (2006), 177-184
  25. D. Ilišević, Quadratic functionals on modules over alternative *-rings, Studia Sci. Math. Hungar. 42 (2005), 459-469
  26. D. Ilišević and S. Varošanec, Grüss type inequalities in inner product modules, Proc. Amer. Math. Soc. 133 (2005), 3271-3280
  27. M. Fošner and D. Ilišević, On a class of projections on *-rings, Comm. Algebra 33 (2005), 3293-3310
  28. D. Ilišević, Quadratic functionals on modules over complex Banach *-algebras with an approximate identity, Studia Math. 171 (2005), 103-123
  29. D. Ilišević, Quadratic functionals on modules over *-rings, Studia Sci. Math. Hungar. 42 (2005), 95-105
  30. 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
  31. D. Ilišević, Equations arising from Jordan *-derivation pairs, Aequationes Math. 67 (2004), 236-240
  32. D. Ilišević, Molnár-dependence in a pre-Hilbert module over an H*-algebra, Acta Math. Hungar. 101 (2003), 69-78
  33. 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
  34. D. Ilišević, On redundance of one of the axioms of a generalized normed space, Glasnik Mat. 37(57) (2002), 133-139

Conference talks:

  1. On isometries and projections on some Banach spaces (Invited Speaker), Women of mathematics on the Mediterranean shores, Bled, Slovenia, September 2019
  2. 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
  3. 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
  4. Surjective linear isometries with finite spectrum (invited), Preserver Weekend in Szeged, Szeged, Hungary, April 2019
  5. When is a finite sum of box operators a Hermitian projection?, Operator Days, Zagreb, Croatia, February 2019
  6. On surjective linear isometries with finite spectrum (invited), 2018 China-Korea International Conference on Matrix Theory with Applications (ICMTA2018), Shanghai, China, December 2018
  7. On isometric roots of isometries (Invited Speaker), 6th Summer Workshop on Operator Theory, Kraków, Poland, July 2018, poster
  8. 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
  9. Three topics in isometries (Invited Speaker), Preservers: Modern Aspects and New Directions, Belfast, United Kingdom, June 2018
  10. 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
  11. Isometries with finite spectrum on continuous functions (Invited Speaker), Workshop on Operator Theory, Complex Analysis, and Applications / WOTCA 2017, Lisbon, Portugal, July 2017
  12. On square roots of isometries, Preservers Everywhere, Szeged, Hungary, June 2017
  13. On projections arising from isometries with finite spectrum on Banach spaces (Invited Speaker), 8th Linear Algebra Workshop, Ljubljana, Slovenia, June 2017
  14. 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
  15. 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
  16. 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
  17. 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
  18. Generalizations and Specializations in Operator Theory (Plenary Speaker), Problems and Recent Methods in Operator Theory, Memphis, Tennessee, USA, October 2015
  19. On some geometrical preserver problems and their stability, 18th Scientific Professional Colloquium on Geometry and Graphics, Beli Manastir, Croatia, September 2015
  20. 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
  21. Generalized bicircular projections, International Workshop on Operator Theory 2014, Belfast, United Kingdom, September 2014
  22. Orthogonally additive mappings on Hilbert C*-modules, Zagreb Workshop on Operator Theory, Zagreb, Croatia, July 2014
  23. Inequalities in Hilbert modules and Hilbert spaces - similarities and differences, Mathematical Inequalities and Applications 2014, Trogir, June 2014
  24. Orthogonally additive mappings on Hilbert C*-modules, 15th International Conference on Functional Equations and Inequalities, Ustroń, Poland, May 2013
  25. Derivations, automorphisms and elementary operators, 5th Croatian Mathematical Congress, Rijeka, Croatia, June 2012
  26. Generalized bicircular projections on some matrix and operator spaces, 6th Linear Algebra Workshop, Kranjska Gora, Slovenia, May-June 2011
  27. Generalized bicircular projections on some matrix and operator spaces, Applied Linear Algebra (ALA 2010) in honor of Hans Schneider, Novi Sad, Serbia, May 2010
  28. Generalized bicircular projections on JB*-triples, Operators, Spaces, Algebras, Modules, Zagreb, Croatia, March 2010
  29. On some functional equations related to bicircular projections, 47th International Symposium on Functional Equations, Gargnano, Italy, June 2009
  30. On bicircular projections, 4th Croatian Mathematical Congress, Osijek, Croatia, June 2008
  31. Quadratic functionals and sesquilinear forms, 11th International Conference on Functional Equations and Inequalities, Bedlewo, Poland, September 2006
  32. On functional equations arising from some problems in algebra and analysis, Hungarian-Croatian Workshop on Mathematics and Informatics, Debrecen, Hungary, October 2005
  33. Bicircular projections on C*-algebras, Functional analysis IX, Dubrovnik, Croatia, June 2005
  34. On a class of projections on *-rings, Linear Algebra Workshop, Bled, Slovenia, May 2005
  35. Quadratic functionals and sesquilinear forms, Third Croatian Congress of Mathematics, Split, Croatia, June 2004
  36. Quadratic functionals on modules over complex Banach *-algebras possessing an approximate identity, Functional analysis VIII, Dubrovnik, Croatia, June 2003
  37. On a generalization of the Jordan - von Neumann theorem, 3rd Linear Algebra Workshop, Bled, Slovenia, June 2002
  38. A new approach to the Jordan - von Neumann theorem on a generalized normed space, Functional analysis VII, Dubrovnik, Croatia, September 2001

Colloquium and seminar talks:

  1. On Hermitian projections and isometries with finite spectrum, University of Reading, United Kingdom (via video link), 1.5.2020.
  2. On some generalizations of Hilbert spaces and C*-algebras, University of Memphis, Tennessee, USA, 24.4.2017.
  3. On generalized n-circular projections, University of Szeged, Hungary, 17.2.2016.
  4. Generalized bicircular projections, University of Primorska, Koper, Slovenia, 22.4.2013.
  5. On bicircular projections and related mappings, University of Maribor, Slovenia, 15.2.2012.
  6. Generalized bicircular projections, University of Debrecen, Hungary, 7.4.2011.
  7. Bicirkularni projektori i njima bliske klase projektora [in Croatian], University of Osijek, Croatia, 12.11.2009.
  8. Bicirkularni projektori [in Croatian], University of Zagreb, Croatia, 6.5.2009.
  9. Nejednakosti u modulima nad H*-algebrama i C*-algebrama [in Croatian], University of Split, Croatia, 16.3.2006.
  10. On centralizers, derivations and quadratic functionals, University of Maribor, Slovenia, 1.12.2004.
  11. On a class of projections on *-rings, University of Maribor, Slovenia, 12.5.2004.
  12. Pre-Hilbert modules and pre-Hilbert spaces - similarities and differences, University of Maribor, Slovenia, 14.4.2004.
  13. Quadratic functionals and sesquilinear forms, University of Maribor, Slovenia, 14.1.2004.
  14. On generalizations of pre-Hilbert spaces and normed spaces, University of Ljubljana, Slovenia, 11.12.2003.
  15. Kvadratni i seskvilinearni funkcionali [in Croatian], University of Osijek, Croatia, 9.1.2003.

Editorial boards:

Referee for: