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Publications:

  1. D. Ilišević, B. Kuzma (2018), On square roots of isometries, Linear and Multilinear Algebra,
    DOI: 10.1080/03081087.2018.1474847
  2. D. Ilišević, B. Kuzma, C.K. Li, E. Poon, Preservers of isometries, Acta Sci. Math. (Szeged) 84 (2018), 3-17
  3. D. Ilišević, A. Turnšek, On superstability of the Wigner equation, Linear Algebra Appl. 542 (2018), 391-401
  4. D. Ilišević, C. N. Liu, 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, D. Ilišević, Generalized tricircular projections on minimal norm ideals in B(H), J. Math. Anal. Appl. 434 (2016), 1813-1825
  7. D. Ilišević, 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, N. C. Wong, When the average of composition operators being a projection, J. Nonlinear Convex Anal. 16 (2015), 1353-1362
  9. D. Ilišević, A. Turnšek, Stability of the Wigner equation - a singular case, J. Math. Anal. Appl. 429 (2015), 273-287
  10. D. Ilišević, A. Turnšek, D. Yang, Orthogonally additive mappings on Hilbert modules, Studia Math. 221 (2014), 209-229
  11. D. Eremita, I. Gogić, D. Ilišević, Generalized skew derivations implemented by generalized elementary operators, Algebr. Represent. Theory 17 (2014), 983-996
  12. D. Ilišević, N. Thomé, When is the hermitian / skew-hermitian part of a matrix a potent matrix?, Electron. J. Linear Algebra 24 (2012), 95-112
  13. D. Eremita, 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, 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, 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 α X²AY²+ β 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, A. Turnšek, Approximately orthogonality preserving mappings on C*-modules, J. Math. Anal. Appl. 341 (2008), 298-308
  21. D. Ilišević, S. Varošanec, On the Cauchy-Schwarz inequality and its reverse in semi-inner product C*-modules, Banach J. Math. Anal. (electronic) 1 (2007), 78-84
  22. S. Banić, D. Ilišević, 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, C.K. Li, G-invariant norms and bicircular projections, Linear Algebra Appl. 420 (2007), 596-608
  24. D. Eremita, 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, S. Varošanec, Grüss type inequalities in inner product modules, Proc. Amer. Math. Soc. 133 (2005), 3271-3280
  27. M. Fošner, 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 (1-2) (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 isometric roots of isometries (Invited Speaker), 6th Summer Workshop on Operator Theory, Kraków, Poland, July 2018, poster
  2. 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
  3. Three topics in isometries (Invited Speaker), Preservers: Modern Aspects and New Directions, Belfast, United Kingdom, June 2018
  4. 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
  5. Isometries with finite spectrum on continuous functions (Invited Speaker), Workshop on Operator Theory, Complex Analysis, and Applications / WOTCA 2017, Lisbon, Portugal, July 2017
  6. On square roots of isometries, Preservers Everywhere, Szeged, Hungary, June 2017
  7. On projections arising from isometries with finite spectrum on Banach spaces (Invited Speaker), 8th Linear Algebra Workshop, Ljubljana, Slovenia, June 2017
  8. 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
  9. Stability of the Wigner equation - a singular case (invited to a minisymposium), 20th Conference of the International Linear Algebra Society (ILAS), minisymposium Recent Developments in Non-linear Preservers, Leuven, Belgium, July 2016
  10. 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
  11. Generalized Bicircular and Generalized Tricircular Projections (invited to a special session), AMS Sectional Meeting, Special Session on Advances in Operator Theory and Applications, in Memory of James Jamison, Memphis, Tennessee, USA, October 2015
  12. Generalizations and Specializations in Operator Theory (Plenary Speaker), Problems and Recent Methods in Operator Theory, Memphis, Tennessee, USA, October 2015
  13. On some geometrical preserver problems and their stability, 18th Scientific-Professional Colloquium on Geometry and Graphics, Beli Manastir, Croatia, September 2015
  14. Derivations, homomorphism and elementary operators, Workshop on Number Theory and Algebra (on the occasion of 60th birthday of Professor Ivica Gusić), Zagreb, Croatia, November 2014
  15. Generalized bicircular projections, International Workshop on Operator Theory 2014, Belfast, United Kingdom, September 2014
  16. Orthogonally additive mappings on Hilbert C*-modules, Zagreb Workshop on Operator Theory, Zagreb, Croatia, July 2014
  17. Inequalities in Hilbert modules and Hilbert spaces - similarities and differences, Mathematical Inequalities and Applications 2014, Trogir, Croatia, June 2014
  18. Orthogonally additive mappings on Hilbert C*-modules, 15th International Conference on Functional Equations and Inequalities, Ustroń, Poland, May 2013
  19. Derivations, automorphisms and elementary operators, 5th Croatian Mathematical Congress, Rijeka, Croatia, June 2012
  20. Generalized bicircular projections on some matrix and operator spaces, 6th Linear Algebra Workshop, Kranjska Gora, Slovenia, May-June 2011
  21. Generalized bicircular projections on some matrix and operator spaces, Applied Linear Algebra (ALA 2010) in honor of Hans Schneider, Novi Sad, Serbia, May 2010
  22. Generalized bicircular projections on JB*-triples, Operators, Spaces, Algebras, Modules, Zagreb, March 2010
  23. On some functional equations related to bicircular projections, 47th International Symposium on Functional Equations, Gargnano, Italy, June 2009
  24. On bicircular projections, 4th Croatian Mathematical Congress, Osijek, Croatia, June 2008
  25. Quadratic functionals and sesquilinear forms, 11th International Conference on Functional Equations and Inequalities, Bedlewo, Poland, September 2006
  26. On functional equations arising from some problems in algebra and analysis, Hungarian-Croatian Workshop on Mathematics and Informatics, Debrecen, Hungary, October 2005
  27. Bicircular projections on C*-algebras, Functional analysis IX, Dubrovnik, Croatia, June 2005
  28. On a class of projections on *-rings, 4th Linear Algebra Workshop, Bled, Slovenia, May 2005
  29. Quadratic functionals and sesquilinear forms, Third Croatian Congress of Mathematics, Split, Croatia, June 2004
  30. Quadratic functionals on modules over complex Banach *-algebras possessing an approximate identity, Functional analysis VIII, Dubrovnik, Croatia, June 2003
  31. On a generalization of the Jordan-von Neumann theorem, 3rd Linear Algebra Workshop, Bled, Slovenia, June 2002
  32. 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. On some generalizations of Hilbert spaces and C*-algebras, University of Memphis, Tennessee, USA, 24.4.2017.
  2. On generalized n-circular projections, University of Szeged, Szeged, Hungary, 17.2.2016.
  3. Generalized bicircular projections, University of Primorska, Koper, Slovenia, 22.4.2013.
  4. On bicircular projections and related mappings, University of Maribor, Slovenia, 15.2.2012.
  5. Generalized bicircular projections, University of Debrecen, Hungary, 7.4.2011.
  6. Bicircular projections and some related classes of projections [in Croatian], University of Osijek, Croatia, 12.11.2009.
  7. Bicircular projections [in Croatian], University of Zagreb, Croatia, 6.5.2009.
  8. Inequalities in modules over H*-algebras and C*-algebras [in Croatian], University of Split, Croatia, 16.3.2006.
  9. On centralizers, derivations and quadratic functionals, University of Maribor, Slovenia, 1.12.2004.
  10. On a class of projections on *-rings (jointly with Maja Fošner), University of Maribor, Slovenia, 12.5.2004.
  11. Pre-Hilbert modules and pre-Hilbert spaces - similarities and differences, University of Maribor, Slovenia, 14.4.2004.
  12. Quadratic functionals and sesquilinear forms, University of Maribor, Slovenija, 14.1.2004.
  13. On generalizations of pre-Hilbert spaces and normed spaces, University of Ljubljana, Slovenia, 11.12.2003.
  14. Quadratic and sesquilinear functionals [in Croatian], University of Osijek, Croatia, 9.1.2003.

Editorial boards:

  1. Glasnik Matematički (Managing Editor)
  2. Operators and Matrices (Associate Editor)

Grants:

  1. Analytic methods for studying stochastic models II by University of Zagreb (investigator, 2018; principal investigator: Bojan Basrak)
  2. Analytic methods for studying stochastic models by University of Zagreb (investigator, 2017; principal investigator: Bojan Basrak)
  3. Operators on C*-algebras and Hilbert modules by Croatian Science Foundation (investigator, 2017-2021; principal investigator: D. Bakić)
  4. Algebras with involution and their representations by University of Zagreb (principal investigator, 2016)
  5. Mappings on operator algebras by University of Zagreb (principal investigator, 2015)
  6. C*-algebras and Hilbert C*-modules by University of Zagreb (principal investigator, 2014)
  7. Mappings on modules over rings, abstract and operator algebras by Ministry of Science, Education and Sports of the Republic of Croatia (principal investigator, 2007-2014)
  8. Bounds for functionals on function spaces by Ministry of Science, Education and Sports of the Republic of Croatia (investigator, 2007-2014; principal investigator: Ivan Perić)
  9. Alpe-Adria Research Grant by University of Maribor, Slovenia (spring semester 2004)
  10. Hilbert modules and operator spaces by Ministry of Science, Education and Sports of the Republic of Croatia (investigator, 2002-2006; principal investigator: Boris Guljaš)

Organizing events:

  1. Mini symposium Linear operator theory and applications at European Women in Mathematics General Meeting 2018, Graz, Austria, September 3-7, 2018; coorganizer (with M. Kramar Fijavž)
  2. Special session Results in Operator Theory at International Conference on Mathematics and Statistics (ICOMAS 2018), Memphis, Tennessee, USA, May 7-10, 2018; coorganizer (with F. Botelho)
  3. Zagreb Workshop on Operator Theory, Zagreb, Croatia, July 3-4, 2014; coorganizer (with D. Bakić)
  4. Operators, Spaces, Algebras, Modules, Zagreb, Croatia, March 1-4, 2010; coorganizer (with D. Bakić and B. Guljaš)

Referee for:

  1. Abstract and Applied Analysis
  2. Acta Mathematica Hungarica
  3. Acta Scientiarum Mathematicarum (Szeged)
  4. Aequationes Mathematicae
  5. Annals of Functional Analysis
  6. Banach Journal of Mathematical Analysis
  7. Bulletin of the Korean Mathematical Society
  8. Bulletin of the Malaysian Mathematical Sciences Society
  9. Communications in Algebra
  10. Electronic Journal of Linear Algebra
  11. European Mathematical Society Journal of Spectral Theory
  12. Fasciculi Mathematici
  13. Glasnik Matematički
  14. Hacettepe Journal of Mathematics and Statistics
  15. Hokkaido Mathematical Journal
  16. Indian Journal of Pure & Applied Mathematics
  17. International Journal of Mathematics and Mathematical Sciences
  18. ISRN Algebra
  19. Journal of Function Spaces and Applications
  20. Journal of Inequalities and Applications
  21. Journal of Mathematical Analysis and Applications
  22. Journal of Mathematical Inequalities
  23. Journal of Mathematics
  24. Journal of Operator Theory
  25. Journal of Pseudo-Differential Operators and Applications
  26. Journal of the Australian Mathematical Society
  27. Linear Algebra and its Applications
  28. Linear and Multilinear Algebra
  29. Matematički Vesnik
  30. Mathematical Communications
  31. Mathematical Inequalities & Applications
  32. Nonlinear Analysis Series A: Theory, Methods & Applications
  33. Operators and Matrices
  34. Periodica Mathematica Hungarica
  35. Proceedings of the American Mathematical Society
  36. Rad HAZU
  37. Results in Mathematics
    and a reviewer for Mathematical Reviews