dr. sc. Ljiljana Arambašić, prof.

izvorni znanstveni rad 34

1. Ljiljana Arambašić, Anđa Valent From Problem Solving to Problem Posing: Two Classroom Examples — The Mathematics Enthusiast, 22(3), str. str. 397-406, 2025. doi:10.54870/1551-3440.1676
2. Ljiljana Arambašić Dual frames compensating for erasures—a non-canonical case — Advances in computational mathematics, 50(1), str. 9, 15, 2024. doi:10.1007/s10444-023-10104-5
3. Ljiljana Arambašić Geometric nonlinear classification of Hilbert C^*-modules based on strong Birkhoff–James orthogonality — Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 118(4), str. 151, 23, 2024. doi:10.1007/s13398-024-01633-9
4. Ljiljana Arambašić What does Birkhoff-James orthogonality know about the norm? — Publicationes mathematicae, 102(1/2), str. str. 197-218, 2023. doi:10.5486/PMD.2023.9388
5. Ljiljana Arambašić, Anđa Valent On a relation related to strong Birkhoff–James orthogonality — Linear and multilinear algebra, 70(11), str. 2088, 2096, 2022. doi:10.1080/03081087.2020.1784082
6. Ljiljana Arambašić Operators preserving mutual strong Birkhoff–James orthogonality on B(H) — Linear algebra and its applications, 624, str. str. 27-43, 2021. doi:10.1016/j.laa.2021.04.003
7. Ljiljana Arambašić Symmetrized Birkhoff–James orthogonality in arbitrary normed spaces — Journal of mathematical analysis and applications, 502(1), str. 125203, 16, 2021. doi:10.1016/j.jmaa.2021.125203
8. Ljiljana Arambašić Elementary operators on Hilbert modules over prime C*-algebras — Journal of mathematical analysis and applications, 485(2), str. 123861, 10, 2020. doi:10.1016/j.jmaa.2020.123861
9. Ljiljana Arambašić Orthograph related to mutual strong Birkhoff-James orthogonality in C*-algebras — Banach journal of mathematical analysis, 14(4), str. str. 1751-1772, 2020. doi:10.1007/s43037-020-00074-x
10. Ljiljana Arambašić Another characterization of orthogonality in Hilbert C*-modules — Mathematical inequalities & applications, 22(4), str. str. 1421-1426, 2019. doi:10.7153/mia-2019-22-99
11. Ljiljana Arambašić Full spark frames and totally positive matrices — Linear and multilinear algebra, 67(8), str. str. 1511-1521, 2019. doi:10.1080/03081087.2018.1466864
12. Ljiljana Arambašić On approximately dual frames for Hilbert C*-modules — Filomat, 33(12), str. str. 3869-3875, 2019. doi:10.2298/FIL1912869A
13. Ljiljana Arambašić Roberts orthogonality for 2×2 complex matrices — Acta mathematica Hungarica, 157(1), str. str. 220-228, 2019. doi:10.1007/s10474-018-0870-3
14. Ljiljana Arambašić Roberts orthogonality and Davis–Wielandt shell — Linear algebra and its applications, 539, str. str. 1-13, 2018. doi:10.1016/j.laa.2017.10.023
15. Ljiljana Arambašić Dual frames compensating for erasures — Glasnik matematički, 52(1), str. str. 131-146, 2017. doi:10.3336/gm.52.1.10
16. Ljiljana Arambašić Frames and outer frames for Hilbert C*-modules — Linear and multilinear algebra, 65(2), str. str. 381-431, 2017. doi:10.1080/03081087.2016.1186588
17. Ljiljana Arambašić On symmetry of the (strong) Birkhoff-James orthogonality in Hilbert C*-modules — Annals of functional analysis, 7(1), str. str. 17-23, 2016. doi:10.1215/20088752-3158195
18. Ljiljana Arambašić On three concepts of orthogonality in Hilbert C*- modules — Linear and multilinear algebra, 63(7), str. str. 1485-1500, 2015. doi:10.1080/03081087.2014.947983
19. Ljiljana Arambašić Operators preserving the strong Birkhoff-James orthogonality on B(H) — Linear algebra and its applications, 471, str. str. 394-404, 2015. doi:10.1016/j.laa.2015.01.011
20. Ljiljana Arambašić A strong version of the Birkhoff-James orthogonality in Hilbert C*-modules — Annals of functional analysis, 5(1), str. str. 109-120, 2014. doi:10.15352/afa/1391614575
21. Ljiljana Arambašić Operator version of the best approximation problem in Hilbert C*-modules — Journal of mathematical analysis and applications, 413(1), str. str. 311-320, 2014. doi:10.1016/j.jmaa.2013.11.058
22. Ljiljana Arambašić The Birkhoff–James orthogonality in Hilbert C*- modules — Linear algebra and its applications, 437(7), str. str. 1913-1929, 2012. doi:10.1016/j.laa.2012.05.011
23. Ljiljana Arambašić A treatment of the Cauchy-Schwarz inequality in C*-modules — Journal of mathematical analysis and applications, 381(2), str. str. 546-556, 2011. doi:10.1016/j.jmaa.2011.02.062
24. Ljiljana Arambašić Dimension functions, scaling sequences, and wavelet sets — Studia mathematica, 198(1), str. str. 1-32, 2010. doi:10.4064/sm198-1-1
25. Ljiljana Arambašić Finite-dimensional Hilbert C*-modules — Banach journal of mathematical analysis, 4(2), str. str. 147-157, 2010. doi:10.15352/bjma/1297117249
26. Ljiljana Arambašić A characterization of Hilbert C*-modules over finite dimensional C*-algebras — Operators and Matrices, 3(2), str. str. 235-240, 2009. doi:10.7153/oam-03-14
27. Ljiljana Arambašić Ostrowski’s inequality in pre-Hilbert C*-modules — Mathematical inequalities & applications, 12(1), str. str. 217-226, 2009. doi:10.7153/mia-12-18
28. Ljiljana Arambašić Another characterization of Hilbert C*-modules over compact operators — Journal of mathematical analysis and applications, 344(2), str. str. 735-740, 2008. doi:10.1016/j.jmaa.2008.03.004
29. Ljiljana Arambašić On the C*-valued triangle equality and inequality in Hilbert C*-modules — Acta mathematica Hungarica, 119(4), str. str. 373-380, 2008. doi:10.1007/s10474-007-7055-9
30. Ljiljana Arambašić Dimension functions of orthonormal wavelets — The journal of fourier analysis and applications, 13(3), str. str. 331-356, 2007. doi:10.1007/s00041-006-6091-0
31. Ljiljana Arambašić On frames for countably generated Hilbert C*-modules — Proceedings of the American Mathematical Society, 135(2), str. str. 469-478, 2007. doi:10.1090/S0002-9939-06-08498-X
32. Ljiljana Arambašić Frames of submodules for countably generated Hilbert K(H)-modules — Glasnik matematički, 41(2), str. str. 317-328, 2006.
33. Ljiljana Arambašić On some norm equalities in pre-Hilbert C*-modules — Linear algebra and its applications, 414(1), str. str. 19-28, 2006. doi:10.1016/j.laa.2005.09.006
34. Ljiljana Arambašić Irreducible representations of Hilbert C*-modules — Mathematical proceedings of the Royal Irish Academy, 105A(2), str. str. 11-24, 2005.

pregledni rad (znanstveni) 4

1. Ljiljana Arambašić Birkhoff–James Orthogonality: Characterizations, Preservers, and Orthogonality Graphs — Extended Abstracts 2022 : Proceedings of the 7th International Conference on the Anthropological Theory of the Didactic (CITAD7), str. str. 255-302, 2024. doi:10.1007/978-3-031-02104-6_8
2. Ljiljana Arambašić Constructions of Dual Frames Compensating for Erasures with Implementation — Women in Analysis and PDE, str. str. 27-36, 2024. doi:10.1007/978-3-031-57005-6_4
3. Ljiljana Arambašić, Anđa Valent Strong Birkhoff–James Orthogonality of Compact Operators on Hilbert Spaces — Women in Analysis and PDE, str. str. 17-26, 2024. doi:10.1007/978-3-031-57005-6_3
4. Ljiljana Arambašić On Birkhoff-James and Roberts orthogonality — Special Matrices, 6(1), str. str. 229-236, 2018. doi:10.1515/spma-2018-0018

stručni rad 11

1. Ljiljana Arambašić Učenje istraživanjem i pričanjem priče — Poučak : časopis za metodiku i nastavu matematike, 25(98), str. str. 20-26, 2024.
2. Ljiljana Arambašić Hamilton-Cayleyjev teorem za matrice reda 2 — Poučak : časopis za metodiku i nastavu matematike, 20(80), str. str. 38-44, 2019.
3. Ljiljana Arambašić Malo kompleksne analize i osnovni teorem algebre — Acta mathematica Spalatensia. Series didactica, 2, str. str. 57-66, 2019. doi:10.32817/amssd.2.2.5
4. Ljiljana Arambašić Napeti bazni okviri — Poučak : časopis za metodiku i nastavu matematike, 20(77), str. str. 4-8, 2019.
5. Ljiljana Arambašić Dva zadatka o najkraćem putu — Poučak : časopis za metodiku i nastavu matematike, 19(75), str. str. 4-8, 2018.
6. Ljiljana Arambašić, Anđa Valent Neke generalizacije Rolleovog teorema i Lagrangeovog teorema srednje vrijednosti — Poučak : časopis za metodiku i nastavu matematike, 16(61), str. str. 14-21, 2015.
7. Ljiljana Arambašić Duljina puta od n segmenata — Poučak : časopis za metodiku i nastavu matematike, 14(56), str. str. 34-39, 2013.
8. Ljiljana Arambašić, Anđa Valent Neke primjene Rolleovog teorema i Lagrangeovog teorema srednje vrijednosti — Poučak : časopis za metodiku i nastavu matematike, 14(55), str. str. 47-56, 2013.
9. Ljiljana Arambašić Razni dokazi Cauchy-Schwarz-Bunjakovskijeve nejednakosti — Poučak : časopis za metodiku i nastavu matematike, 13(51), str. str. 32-38, 2012.
10. Ljiljana Arambašić O neprekidnim funkcijama — Poučak : časopis za metodiku i nastavu matematike, 41, str. str. 50-60, 2010.
11. Ljiljana Arambašić p-norme na R^2, kružnice S_p i brojevi pi_p — Osječki matematički list, 10(2), str. str. 131-138, 2010.

udžbenik 1

1. Ljiljana Arambašić Linearna algebra — 2022.

sažetak izlaganja sa skupa 24

1. Ljiljana Arambašić Symmetrized strong Birkhoff-James orthogonality in C*-algebras — 7th Croatian Mathematical Congress, str. str. 25-25, 2022.
2. Ljiljana Arambašić Strong Birkhoff–James orthogonality in commutative C*-algebras — Book of Abstracts, str. str. 6-6, 2021.
3. Ljiljana Arambašić Strong Birkhoff-James orthogonality in Hilbert C*- modules — str. str. 1-1, 2020.
4. Ljiljana Arambašić Symmetrized strong Birkhoff–James orthogonality in C*-algebras — str. str. 16-16, 2020.
5. Ljiljana Arambašić Frames and outer frames in Hilbert C*-modules — str. str. 1-2, 2019.
6. Ljiljana Arambašić On full spark frames in Hilbert spaces — str. str. 6-6, 2019.
7. Ljiljana Arambašić The minimal redundancy property of frames and signal reconstruction — str. str. 1-1, 2019.
8. Ljiljana Arambašić Birkhoff-James and Roberts orthogonality in C*- algebras — str. str. 1-1, 2018.
9. Ljiljana Arambašić Dual frames compensating for erasures — str. str. 1-1, 2018.
10. Ljiljana Arambašić Full spark frames and totally positive matrices — str. str. 12-12, 2018.
11. Ljiljana Arambašić Mappings preserving different types of orthogonality on B(H) — European Women in Mathematics, 2018.
12. Ljiljana Arambašić On Roberts orthogonality in C*-algebras — str. str. 5-5, 2018.
13. Ljiljana Arambašić Roberts orthogonality and Davis-Wielandt shell — Mathematical Inequalities and Applications 2018, str. str. 65-65, 2018.
14. Ljiljana Arambašić Synthesis operators of frames in Hilbert C*-modules — str. str. 1-1, 2018.
15. Ljiljana Arambašić Synthesis operators of frames in Hilbert C*-modules — str. str. 1-1, 2018.
16. Ljiljana Arambašić Outer frames for Hilbert C*-modules — str. str. 40-40, 2017.
17. Ljiljana Arambašić The Birkhoff-James and Roberts orthogonality in C*-algebras — 8th Linear Algebra Workshop, Book of Abstracts, str. str. 26-26, 2017.
18. Ljiljana Arambašić Frames and outer frames in Hilbert C*-modules — str. str. 1-1, 2016.
19. Ljiljana Arambašić Various types of orthogonality in Hilbert C*-modules — 6th Croatian Mathematical Congress, str. str. 68-68, 2016.
20. Ljiljana Arambašić The Birkhoff-James orthogonality in Hilbert C*-modules — Book of Abstracts, 5th Croatian Mathematical Congress, str. str. 71-71, 2012.
21. Ljiljana Arambašić Characterizations of triangle equalities in Hilbert C*-modules — 4th Croatian Mathematical Congress, str. str. 16-16, 2008.
22. Ljiljana Arambašić On frames for countably generated Hilbert C*-modules over compact operators — 4th Croatian Mathematical Congress, str. str. 16-16, 2008.
23. Ljiljana Arambašić On some norm equalities in pre-Hilbert C*-modules — Third International Conference of applied Mathematics, str. str. 23-23, 2006.
24. Ljiljana Arambašić Irreducible Representations of a Hilbert C*-Module — Treći hrvatski matematički kongres (Third Craotian Congress of Mathematics), str. str. 22-22, 2004.

kratko priopćenje 1

1. Ljiljana Arambašić Determinante — Poučak : časopis za metodiku i nastavu matematike, 22(87), str. str. 36-50, 2021.

ostalo 2

1. Ljiljana Arambašić Matematika 3 — 2014.
2. Ljiljana Arambašić Matematika 4 — 2010.

doktorski rad 1

1. Ljiljana Arambašić Reprezentacije i bazni okviri Hilbertovih C*-modula — 2005.

magistarski rad (znanstveni) 1

1. Ljiljana Arambašić AF-algebre — 1999.