Additive Units of Inclusion Systems of Hilbert Modules over the $$C^*$$-Algebra of Compact Operators
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of The Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00325-0
Abstract: We introduce the notion of additive units (addits) of a pointed inclusion system of Hilbert modules over the \(C^*\)-algebra of all compact operators acting on a Hilbert space G. By a pointed inclusion system, we… read more here.
Keywords: system; modules algebra; inclusion system; additive units ... See more keywords
On reducing submodules of Hilbert modules with Sn-invariant kernels
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.10.025
Abstract: Fix a bounded domain Omega subset of C-n and a positive definite kernel K on Omega, both invariant under G(n), the permutation group on n symbols. Let H subset of Hol(Omega) be the Hilbert module… read more here.
Keywords: hilbert module; reducing submodules; invariant kernels; hilbert modules ... See more keywords
Continuous ⁎-K-G-Frame in Hilbert C⁎-Modules
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Function Spaces"
DOI: 10.1155/2019/2426978
Abstract: Frame theory is exciting and dynamic with applications to a wide variety of areas in mathematics and engineering. In this paper, we introduce the concept of Continuous ⁎-K-g-frame in Hilbert C⁎-Modules and we give some… read more here.
Keywords: continuous frame; frame hilbert; frame; hilbert modules ... See more keywords
Weaving Frames in Hilbert C ∗ -Modules
Sign Up to like & getrecommendations! 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;
Weak frames in Hilbert $C^{*}$ -modules with application in Gabor analysis
Sign Up to like & getrecommendations! Published in 2019 at "Banach Journal of Mathematical Analysis"
DOI: 10.1215/17358787-2019-0021
Abstract: 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… read more here.
Keywords: ell prime; analysis; weak frames; hilbert modules ... See more keywords
Semi-Fredholm theory on Hilbert $C^{*}$ -modules
Sign Up to like & getrecommendations! Published in 2019 at "Banach Journal of Mathematical Analysis"
DOI: 10.1215/17358787-2019-0022
Abstract: In this paper we establish the semi-Fredholm theory on Hilbert C*-modules as a continuation of Fredholm theory on Hilbert C*-modules established by Mishchenko and Fomenko. We give a definition of a semi-Fredholm operator on Hilbert… read more here.
Keywords: semi fredholm; theory hilbert; hilbert; hilbert modules ... See more keywords
Invertibility of multipliers in Hilbert C*-modules
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1817073m
Abstract: In this paper, we present some sufficient conditions under which Bessel multipliers in Hilbert C∗−modules with semi-normalized symbols are invertible and we calculate the inverses. Especially we consider the invertibility of Bessel multipliers when the… read more here.
Keywords: invertibility multipliers; hilbert modules; multipliers hilbert; bessel ... See more keywords
Sum of K-frames in Hilbert C*-modules
Sign Up to like & getrecommendations! 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;