D. Ilišević, B. Kuzma (2018), On square roots of isometries, Linear and Multilinear Algebra, DOI: 10.1080/03081087.2018.1474847
D. Ilišević, B. Kuzma, C.K. Li, E. Poon, Preservers of isometries, Acta Sci. Math. (Szeged) 84 (2018), 3-17
D. Ilišević, A. Turnšek, On superstability of the Wigner equation, Linear Algebra Appl. 542 (2018), 391-401
D. Ilišević, C. N. Liu, N. C. Wong, Generalized n-circular projections on JB*-triples and Hilbert C_{0}(Ω)-modules, Concr. Oper. 4 (2017), 109-120
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
J. Čuka, D. Ilišević, Generalized tricircular projections on minimal norm ideals in B(H), J. Math. Anal. Appl. 434 (2016), 1813-1825
D. Ilišević, A. Turnšek, A quantitative version of Herstein's theorem for Jordan *-isomorphisms, Linear Multilinear Algebra 64 (2016), 156-168
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
D. Ilišević, A. Turnšek, Stability of the Wigner equation - a singular case, J. Math. Anal. Appl. 429 (2015), 273-287
D. Ilišević, A. Turnšek, D. Yang, Orthogonally additive mappings on Hilbert modules, Studia Math. 221 (2014), 209-229
D. Eremita, I. Gogić, D. Ilišević, Generalized skew derivations implemented by generalized elementary operators, Algebr. Represent. Theory 17 (2014), 983-996
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
D. Eremita, D. Ilišević, On (anti-)multiplicative generalized derivations, Glasnik Mat. 47(67) (2012), 105-118
D. Ilišević, A generalization of the original Jordan - von Neumann theorem, Acta Math. Hungar. 132 (2011), 387-400
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
D. Ilišević, Generalized bicircular projections on JB*-triples, Linear Algebra Appl. 432 (2010), 1267-1276
M. Fošner, D. Ilišević, On Jordan triple derivations and related mappings, Mediterr. J. Math. 5 (2008), 415-427
D. Ilišević, Generalized bicircular projections via the operator equation α X²AY²+ β XAY+A=0, Linear Algebra Appl. 429 (2008), 2025-2029
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.
D. Ilišević, A. Turnšek, Approximately orthogonality preserving mappings on C*-modules, J. Math. Anal. Appl. 341 (2008), 298-308
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
S. Banić, D. Ilišević, S. Varošanec, Bessel and Grüss type inequalities in inner product modules, Proc. Edinb. Math. Soc. (2) 50 (2007), 23-36
M. Fošner, D. Ilišević, C.K. Li, G-invariant norms and bicircular projections, Linear Algebra Appl. 420 (2007), 596-608
D. Eremita, D. Ilišević, On additivity of centralisers, Bull. Austral. Math. Soc. 74 (2006), 177-184
D. Ilišević, Quadratic functionals on modules over alternative *-rings, Studia Sci. Math. Hungar. 42 (2005), 459-469
D. Ilišević, S. Varošanec, Grüss type inequalities in inner product modules, Proc. Amer. Math. Soc. 133 (2005), 3271-3280
M. Fošner, D. Ilišević, On a class of projections on *-rings, Comm. Algebra 33 (2005), 3293-3310
D. Ilišević, Quadratic functionals on modules over complex Banach *-algebras with an approximate identity, Studia Math. 171 (2005), 103-123
D. Ilišević, Quadratic functionals on modules over *-rings, Studia Sci. Math. Hungar. 42 (2005), 95-105
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
D. Ilišević, Equations arising from Jordan *-derivation pairs, Aequationes Math. 67 (2004), 236-240
D. Ilišević, Molnár-dependence in a pre-Hilbert module over an H*-algebra, Acta Math.Hungar. 101 (1-2) (2003), 69-78
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
D. Ilišević, On redundance of one of the axioms of a generalized normed space, Glasnik Mat. 37(57) (2002), 133-139
Conference talks:
When is a finite sum of box operators a Hermitian projection?, Operator Days, Zagreb, Croatia, February 2019
On surjective linear isometries with finite spectrum (Invited), 2018 China-Korea International Conference on Matrix Theory with Applications (ICMTA2018), Shanghai, China, December 2018
On isometric roots of isometries (Invited Speaker), 6th Summer Workshop on Operator Theory, Kraków, Poland, July 2018, poster
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
Three topics in isometries (Invited Speaker), Preservers: Modern Aspects and New Directions, Belfast, United Kingdom, June 2018
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
Isometries with finite spectrum on continuous functions (Invited Speaker), Workshop on Operator Theory, Complex Analysis, and Applications / WOTCA 2017, Lisbon, Portugal, July 2017
On square roots of isometries, Preservers Everywhere, Szeged, Hungary, June 2017
On projections arising from isometries with finite spectrum on Banach spaces (Invited Speaker), 8th Linear Algebra Workshop, Ljubljana, Slovenia, June 2017
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
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
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
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
Generalizations and Specializations in Operator Theory (Plenary Speaker), Problems and Recent Methods in Operator Theory, Memphis, Tennessee, USA, October 2015
On some geometrical preserver problems and their stability, 18th Scientific-Professional Colloquium on Geometry and Graphics, Beli Manastir, Croatia, September 2015
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
Generalized bicircular projections, International Workshop on Operator Theory 2014, Belfast, United Kingdom, September 2014
Orthogonally additive mappings on Hilbert C*-modules, Zagreb Workshop on Operator Theory, Zagreb, Croatia, July 2014
Inequalities in Hilbert modules and Hilbert spaces - similarities and differences, Mathematical Inequalities and Applications 2014, Trogir, Croatia, June 2014
Orthogonally additive mappings on Hilbert C*-modules, 15th International Conference on Functional Equations and Inequalities, Ustroń, Poland, May 2013
Derivations, automorphisms and elementary operators, 5th Croatian Mathematical Congress, Rijeka, Croatia, June 2012
Generalized bicircular projections on some matrix and operator spaces, 6th Linear Algebra Workshop, Kranjska Gora, Slovenia, May-June 2011
Generalized bicircular projections on some matrix and operator spaces, Applied Linear Algebra (ALA 2010) in honor of Hans Schneider, Novi Sad, Serbia, May 2010
Generalized bicircular projections on JB*-triples, Operators, Spaces, Algebras, Modules, Zagreb, March 2010
On some functional equations related to bicircular projections, 47th International Symposium on Functional Equations, Gargnano, Italy, June 2009
On bicircular projections, 4th Croatian Mathematical Congress, Osijek, Croatia, June 2008
Quadratic functionals and sesquilinear forms, 11th International Conference on Functional Equations and Inequalities, Bedlewo, Poland, September 2006
On functional equations arising from some problems in algebra and analysis, Hungarian-Croatian Workshop on Mathematics and Informatics, Debrecen, Hungary, October 2005
Bicircular projections on C*-algebras, Functional analysis IX, Dubrovnik, Croatia, June 2005
On a class of projections on *-rings, 4th Linear Algebra Workshop, Bled, Slovenia, May 2005
Quadratic functionals and sesquilinear forms, Third Croatian Congress of Mathematics, Split, Croatia, June 2004
Quadratic functionals on modules over complex Banach *-algebras possessing an approximate identity, Functional analysis VIII, Dubrovnik, Croatia, June 2003
On a generalization of the Jordan-von Neumann theorem, 3rd Linear Algebra Workshop, Bled, Slovenia, June 2002
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:
On some generalizations of Hilbert spaces and C*-algebras, University of Memphis, Tennessee, USA, 24.4.2017.
On generalized n-circular projections, University of Szeged, Szeged, Hungary, 17.2.2016.
Generalized bicircular projections, University of Primorska, Koper, Slovenia, 22.4.2013.
On bicircular projections and related mappings, University of Maribor, Slovenia, 15.2.2012.
Generalized bicircular projections, University of Debrecen, Hungary, 7.4.2011.
Bicircular projections and some related classes of projections [in Croatian], University of Osijek, Croatia, 12.11.2009.
Bicircular projections [in Croatian], University of Zagreb, Croatia, 6.5.2009.
Inequalities in modules over H*-algebras and C*-algebras [in Croatian], University of Split, Croatia, 16.3.2006.
On centralizers, derivations and quadratic functionals, University of Maribor, Slovenia, 1.12.2004.
On a class of projections on *-rings (jointly with Maja Fošner), University of Maribor, Slovenia, 12.5.2004.
Pre-Hilbert modules and pre-Hilbert spaces - similarities and differences, University of Maribor, Slovenia, 14.4.2004.
Quadratic functionals and sesquilinear forms, University of Maribor, Slovenija, 14.1.2004.
On generalizations of pre-Hilbert spaces and normed spaces, University of Ljubljana, Slovenia, 11.12.2003.
Quadratic and sesquilinear functionals [in Croatian], University of Osijek, Croatia, 9.1.2003.
Analytic methods for studying stochastic models II by University of Zagreb (investigator, 2018; principal investigator: Bojan Basrak)
Analytic methods for studying stochastic models by University of Zagreb (investigator, 2017; principal investigator: Bojan Basrak)
Operators on C*-algebras and Hilbert modules by Croatian Science Foundation (investigator, 2017-2021; principal investigator: D. Bakić)
Algebras with involution and their representations by University of Zagreb (principal investigator, 2016)
Mappings on operator algebras by University of Zagreb (principal investigator, 2015)
C*-algebras and Hilbert C*-modules by University of Zagreb (principal investigator, 2014)
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)
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)
Alpe-Adria Research Grant by University of Maribor, Slovenia (spring semester 2004)
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:
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)
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)
Zagreb Workshop on Operator Theory, Zagreb, Croatia, July 3-4, 2014; coorganizer (with D. Bakić)
Operators, Spaces, Algebras, Modules, Zagreb, Croatia, March 1-4, 2010; coorganizer (with D. Bakić and B. Guljaš)
Referee for:
Abstract and Applied Analysis
Acta Mathematica Hungarica
Acta Scientiarum Mathematicarum (Szeged)
Aequationes Mathematicae
Annals of Functional Analysis
Banach Journal of Mathematical Analysis
Bulletin of the Korean Mathematical Society
Bulletin of the Malaysian Mathematical Sciences Society
Communications in Algebra
Concrete Operators
Electronic Journal of Linear Algebra
European Mathematical Society Journal of Spectral Theory
Fasciculi Mathematici
Glasnik Matematički
Hacettepe Journal of Mathematics and Statistics
Hokkaido Mathematical Journal
Indian Journal of Mathematics
Indian Journal of Pure & Applied Mathematics
International Journal of Mathematics and Mathematical Sciences
ISRN Algebra
Journal of Function Spaces and Applications
Journal of Inequalities and Applications
Journal of Mathematical Analysis and Applications
Journal of Mathematical Inequalities
Journal of Mathematics
Journal of Operator Theory
Journal of Pseudo-Differential Operators and Applications
Journal of the Australian Mathematical Society
Linear Algebra and its Applications
Linear and Multilinear Algebra
Matematički Vesnik
Mathematical Communications
Mathematical Inequalities & Applications
Nonlinear Analysis Series A: Theory, Methods & Applications
Operators and Matrices
Periodica Mathematica Hungarica
Proceedings of the American Mathematical Society
Rad HAZU
Results in Mathematics
and a reviewer for Mathematical Reviews