Výsledky vyhledávání - "Ljiljana Arambašić"

Symmetrized Birkhoff–James orthogonality in arbitrary normed spaces

Autor: Svetlana Zhilina, Alexander Guterman, Bojan Kuzma, Rajna Rajić, Ljiljana Arambašić

Graph defined by Birkhoff–James orthogonality relation in normed spaces is studied. It is shown that (i) in a normed space of sufficiently large dimension there always exists a nonzero vector which is mutually Birkhoff–James orthogonal to each am

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5d021f1e244efd44171ea6b4acdde42
https://www.bib.irb.hr/1131839

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Autor: Alexander Guterman, Bojan Kuzma, Rajna Rajić, Svetlana Zhilina, Ljiljana Arambašić

We study the relation of mutual strong Birkhoff–James orthogonality in two classical $$C^*$$ -algebras: the $$C^*$$ -algebra $${\mathbb {B}}(H)$$ of all bounded linear operators on a complex Hilbert space H and the commutative, possibly nonunital,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b24e9c3d4e9e419fa770fcfa6c1a010
https://doi.org/10.1007/s43037-020-00074-x

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On a relation related to strong Birkhoff–James orthogonality

Autor: Anđa Valent, Ljiljana Arambašić

In this paper, we discuss a version of Birkhoff– James orthogonality in the C*-algebra of all bounded linear operators on a finite-dimensional Hilbert space. We obtain a characterization of this relation and use it to describe some classes of opera

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b9794f7c3978add1c67ca64b7c94652
https://www.bib.irb.hr/1090516

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Roberts orthogonality for $${2 \times 2}$$ 2 × 2 complex matrices

Autor: Ljiljana Arambašić, Rajna Rajić

Publikováno v: Acta Mathematica Hungarica. 157:220-228

We give a complete description of matrices A and B from $${\mathbb{M}_{2}(\mathbb{C})}$$ which are Roberts orthogonal to each other. Necessary and sufficient conditions for Roberts orthogonality of A and B are also given in terms of traces of matrice

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e90a9364b16adcd1ade8c60d97d8c08
https://doi.org/10.1007/s10474-018-0870-3

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On Birkhoff – James and Roberts orthogonality

Autor: Ljiljana Arambašić, Rajna Rajić

Publikováno v: Special Matrices, Vol 6, Iss 1, Pp 229-236 (2018)

In this paper we present some recent results on characterizations of the Birkhoff-James and the Roberts orthogonality in C*-algebras and Hilbert C*-modules.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9b45fb82f2adf0b4ddc3dbc2b043491c
https://doi.org/10.1515/spma-2018-0018

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Roberts orthogonality and Davis–Wielandt shell

Autor: Tomislav Berić, Ljiljana Arambašić, Rajna Rajić

Publikováno v: Linear Algebra and its Applications. 539:1-13

Let A be a unital C ⁎ -algebra with the unit e. We consider the elements a ∈ A which are Roberts orthogonal to the unit e. We obtain a characterization of this orthogonality in terms of the Davis–Wielandt shell of a and show that, for certain c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cee25e5fb764d37b7e53429ae513ec4a
https://doi.org/10.1016/j.laa.2017.10.023

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Dual frames compensating for erasures

Autor: Ljiljana Arambašić, Damir Bakić

Publikováno v: Glasnik matematički
Volume 52
Issue 1

We discuss the problem of recovering signal from frame coefficients with erasures. Such problems arise naturally from applications where some of the coefficients could be corrupted or erased during the data transmission. Provided that the erasure set

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2c03b028606647f440459c3dd669236
https://doi.org/10.3336/gm.52.1.10

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