Ljiljana Arambavsi'c

activity

20152024

collaborators

4 papers

math.FA2024

Constructions of dual frames compensating for erasures with implementation

Ljiljana Arambašić, Diana T. Stoeva

Let $I \subseteq N$ be a finite or infinite set and let $(x_{n})_{n \in I}$ be a frame for a separable Hilbert space $H$ . Consider transmission of a signal $h\in\mathc…

math.FA2021

What does Birkhoff-James orthogonality know about the norm?

Ljiljana Arambašić, Alexander Guterman, Bojan Kuzma +2

It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in reflexive Banach spaces and can also compute the dimensions of the underlying normed spaces…

math.OA2017

Roberts orthogonality and the Davis-Wielandt shell

Ljiljana Arambašić, Tomislav Berić, Rajna Rajić

Let $A$ be a unital $C^{*}$ -algebra with the unit $e$ . We consider the elements $a \in A$ which are Roberts orthogonal to the unit $e$ . We obtain a characterization…

math.OA2015

Frames and outer frames for Hilbert C^*-modules

Ljiljana Arambašić, Damir Bakić

The goal of the present paper is to extend the theory of frames for countably generated Hilbert $C^{*}$ -modules over arbitrary $C^{*}$ -algebras. In investigating the non-unital case we…