Research project

Publications

TITLE/CITATION
Operators preserving mutual strong Birkhoff-James orthogonality on B(H)
Lj. Arambašić, A. Guterman, B. Kuzma, R. Rajić, S. Zhilina, Operators preserving mutual strong Birkhoff-James orthogonality on B(H), accepted for publications in Linear Algebra and its Applications
Dual frames compensating for erasures - non canonical case
Lj. Arambašić, D. Stoeva, Dual frames compensating for erasures - non canonical case, preprint
Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces
Lj. Arambašić, A. Guterman, B. Kuzma, R. Rajić, S. Zhilina, Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces, accepted for publication in Journal of Mathematical Analysis and Applications
Generalized circular projections
D. Ilišević, C.K. Li, E. Poon, Generalized circular projections, submitted
Hilbert C*-modules in which all relatively strictly closed submodules are complemented
B. Guljaš, Hilbert C*-modules in which all relatively strictly closed submodules are complemented, accepted for publication in Glasnik Matematički
A variant of Wigner's theorem in normed spaces
D. Ilišević, A. Turnšek, A variant of Wigner's theorem in normed spaces, to appear
Phase-isometries between normed spaces
D. Ilišević, M. Omladič, A. Turnšek, Phase-isometries between normed spaces, Linear Algebra Appl. 612 (2021), 99-111
On isometries with finite spectrum
F. Botelho and D. Ilišević, On isometries with finite spectrum, Journal of Operator Theory, accepted
On Wigner's theorem in smooth normed spaces
D. Ilišević and A. Turnšek, On Wigner's theorem in smooth normed spaces, Aequationes Math. 94 (2020), 1257-1267
On Wigner's theorem in strictly convex normed spaces
D. Ilišević and A. Turnšek, On Wigner's theorem in strictly convex normed spaces, Publ. Math. Debrecen 97 (2020), 393-401
Conjugations on Banach *-algebras
D. Ilišević and M. Ptak, Conjugations on Banach *-algebras, Ann. Funct. Anal. 11 (2020), 1274-1286
Hermitian projections on some Banach spaces and related topics
F. Botelho, P. Dey and D. Ilišević, Hermitian projections on some Banach spaces and related topics, Linear Algebra Appl. 598 (2020), 92-104
Orthograph related to mutual strong Birkhoff--James orthogonality in C*-algebras
Lj. Arambašić, A. Guterman, B. Kuzma, R. Rajić, S. Zhilina, Orthograph related to mutual strong Birkhoff--James orthogonality in C*-algebras, accepted for publication in Banach Journal of Mathematical Analysis
On a relation related to strong Birkhoff--James orthogonality
Lj. Arambašić, A. Valent, On a relation related to strong Birkhoff--James orthogonality, accepted for publication in Linear and Multilinear Algebra
Complexifications of real Banach spaces and their isometries
D. Ilišević, B. Kuzma, C.K. Li, E. Poon, Complexifications of real Banach spaces and their isometries, Linear Algebra Appl. 589 (2020) 222-241
When is a finite sum of box operators on a JB*-triple a Hermitian projection?
D. Ilišević, 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
Sequence dominance in shift–invariant spaces
T. Berić, H. Šikić, Sequence dominance in shift–invariant spaces (2019), J Fourier Anal Appl 26, 55 (2020)
The centre-quotient property and weak centrality for C*-algebras
R. J. Archbold, I. Gogić, The centre-quotient property and weak centrality for C*-algebras (2020), accepted for publication in International Mathematics Research Notices
Elementary operators on Hilbert modules over prime C*-algebras
Lj. Arambašić, I. Gogić, Elementary operators on Hilbert modules over prime C*-algebras (2019), Journal of Mathematical Analysis and Applications, Volume 485, Issue 2, 15 May 2020
On the ideal structure of the tensor product of nearly simple algebras
I. Gogić, On the ideal structure of the tensor product of nearly simple algebras (2019), Communications in Algebra 48 (5) (2020), 2248-2257
Centrally stable algebras
M. Brešar, I. Gogić, Centrally stable algebras, Journal of Algebra 537 (2019), 79-97
The cb-norm approximation of generalized skew derivations by elementary operators
I. Gogić, The cb-norm approximation of generalized skew derivations by elementary operators, accepted for publication in Linear and Multilinear Algebra
Weak frames in Hilbert C*-modules with application in Gabor analysis
D. Bakić, Weak frames in Hilbert C*-modules with application in Gabor analysis, Banach J. Math. Anal. 13 (2019), no. 4, 1017-1075
Another characterization of orthogonality in Hilbert C*-modules
Lj. Arambašić, R. Rajić, Another characterization of orthogonality in Hilbert C*-modules, Mathematical Inequalities and Applications, 22 (4) (2019), 1421-1426
Roberts orthogonality for 2x2 complex matrices
Lj. Arambašić, R. Rajić, Roberts orthogonality for 2x2 complex matrices, Acta Mathematica Hungarica 157 (2019) (1), 220-228
Roberts orthogonality and Davis-Wielandt shell
Lj. Arambašić, T. Berić, R. Rajić, Roberts orthogonality and Davis-Wielandt shell, Linear Algebra and its Applications 539 (2018) 1-13
Full spark frames and totally positive matrices
Lj. Arambašić, D. Bakić, Full spark frames and totally positive matrices, Linear and multilinear algebra 67 (2019) 8, 1511-1521
Preservers of isometries
D. Ilišević, B. Kuzma, C.K. Li, E. Poon, Preservers of isometries, Acta Sci. Math. (Szeged) 84 (2018), 3-17
On square roots of isometries
D. Ilišević, B. Kuzma, On square roots of isometries, Linear and Multilinear Algebra 67 (2019), 1898-1921
On Birkhoff-James and Roberts orthogonality
Lj. Arambašić, R. Rajić, On Birkhoff-James and Roberts orthogonality, Spec. Matrices 6 (2018), 229-236
Preserving the reconstruction property of frames from frame coefficients with erasures
D. Bakić, Preserving the reconstruction property of frames from frame coefficients with erasures, Acta Sci Math. (Szeged) 84 (2018), 309-321
On approximately dual frames for Hilbert C*-modules
Lj. Arambašić, On approximately dual frames for Hilbert C*-modules, Filomat 33:12 (2019), 3869-3875