Výsledky vyhledávání - "BAKIĆ, DAMIR"

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Weak frames in Hilbert C*-modules with application in Gabor analysis

Autor: Bakic, Damir

Publikováno v: Banach J. Math. Anal. 13, no. 4 (2019), 1017-1075

In the first part of the paper we describe the dual \ell^2(A)^{\prime} of the standard Hilbert C*-module \ell^2(A) over an arbitrary (not necessarily unital) C*-algebra A. When A is a von Neumann algebra, this enables us to construct explicitly a sel

Externí odkaz: http://arxiv.org/abs/1903.01952

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Expansions from frame coefficients with erasures

Autor: Arambasic, Ljiljana, Bakic, Damir

We propose a new approach to 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 th

Externí odkaz: http://arxiv.org/abs/1602.01656

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Frames and outer frames for Hilbert C^*-modules

Autor: Arambašić, Ljiljana, Bakić, Damir

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 introduce the concept of outer frame as a sequence in the multiplier

Externí odkaz: http://arxiv.org/abs/1507.04101

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On excesses of frames

Autor: Bakić, Damir, Berić, Tomislav

Publikováno v: Glasnik Matematicki, Vol. 50, No. 2 (2015), 415-427

We show that any two frames in a separable Hilbert space that are dual to each other have the same excess. Some new relations for the analysis resp. synthesis operators of dual frames are also derived. We then prove that pseudo-dual frames and, in pa

Externí odkaz: http://arxiv.org/abs/1403.0632

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Finite extensions of Bessel sequences

Autor: Bakić, Damir, Berić, Tomislav

Publikováno v: Banach J. Math. Anal. Volume 9, Number 4 (2015), 1-13

The paper studies finite extensions of Bessel sequences in infinite-dimensional Hilbert spaces. We provide a characterization of Bessel sequences that can be extended to frames by adding finitely many vectors. We also characterize frames that can be

Externí odkaz: http://arxiv.org/abs/1308.5709

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