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On Some New Inequalities For Continuous Fusion Frames in Hilbert Spaces

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1 Published in 2018 at "Mediterranean Journal of Mathematics"

DOI: 10.1007/s00009-018-1219-4

Abstract: Continuous frames and fusion frames were considered recently as generalizations of frames in Hilbert spaces. In this paper, for any continuous fusion frame, we obtain a new family of inequalities which are parametrized by a… read more here.

Keywords: fusion frames; hilbert spaces; new inequalities; continuous fusion ... See more keywords

Exact K-g-Frames in Hilbert Spaces

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1 Published in 2017 at "Results in Mathematics"

DOI: 10.1007/s00025-017-0657-9

Abstract: In this paper we mainly discuss the exact K-g-frames in the Hilbert spaces. We use the induced sequence $$\{u_{jk}\}$${ujk} of a g-Bessel sequence $$\{\Lambda _j\}_{j\in J}$${Λj}j∈J and an invertible operator to characterize whether $$\{\Lambda _j\}_{j\in… read more here.

Keywords: exact frames; sequence; frames hilbert; hilbert spaces ... See more keywords

Weaving Frames in Hilbert C ∗ -Modules

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1 Published in 2021 at "Journal of Mathematics"

DOI: 10.1155/2021/2228397

Abstract: In this paper, we investigate weaving frames in Hilbert C ∗ -modules. We show that the equivalence of woven and weakly woven frames is still true for modular frames under certain conditions. By using the… read more here.

Keywords: hilbert modules; weaving frames; frames hilbert;

Sum of K-frames in Hilbert C*-modules

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1 Published in 2020 at "Filomat"

DOI: 10.2298/fil2006771m

Abstract: In this paper, we investigate some conditions under which the action of an operator on a Kframe, remain again a K-frame for Hilbert module E. We also give a generalization of Douglas theorem to prove… read more here.

Keywords: hilbert modules; frames hilbert; sum frames;

Weaving of K-g-frames in Hilbert spaces

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1 Published in 2019 at "ScienceAsia"

DOI: 10.2306/scienceasia1513-1874.2019.45.285

Abstract: ABSTRACT: In this study, we mainly discuss the weaving of K-g-frames in Hilbert spaces. Note that the concept of weaving was recently proposed by Bemrose et al to solve a question in distributed signal processing.… read more here.

Keywords: hilbert spaces; weaving frames; frames hilbert;