Zobrazeno 1 - 10
of 22
pro vyhledávání: '"42C15, 46L05"'
In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.
Externí odkaz:
http://arxiv.org/abs/2410.03990
Autor:
Krishna, K. Mahesh
Khosravi, Drnov\v{s}ek and Moslehian [\textit{Filomat, 2012}] derived Buzano inequality for Hilbert C*-modules. Using this inequality we derive Deutsch entropic uncertainty principle for Hilbert C*-modules over commutative unital C*-algebras.
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Externí odkaz:
http://arxiv.org/abs/2407.14513
Autor:
Khachiaa, Najib, Rossafi, Mohamed
Let $H_1$ and $H_2$ be two Hilbert spaces, $K$ and $L$ be bounded operatrors on $H_1$ and $H_2$ respectively. In this paper we study the relationship between $K$-frames for $H_1$ and $L$-frames for $H_2$ and $K\oplus L$-frames for $H_1\oplus H_2$. Th
Externí odkaz:
http://arxiv.org/abs/2407.00857
Recently, Bemrose et al. \cite{BE} developed a theory of weaving frames, which was motivated by a problem regarding distributed signal processing. In this present article, we introduce the atomic $g$-system and we generalize some of the known results
Externí odkaz:
http://arxiv.org/abs/2401.00969
In this paper, we present the concept of continuous biframes in a Hilbert space. We examine the essential properties of biframes with an emphasis on the biframe operator. Moreover, we introduce a new type of Riesz bases, referred to as continuous bif
Externí odkaz:
http://arxiv.org/abs/2312.06905
In this paper, we provide some generalization of the concept of fusion frames following that evaluate their representability via a linear operator in Hilbert $C*$-module. We assume that $\Upsilon _\xi$ is self-adjoint and $\Upsilon _\xi(\frak{N} _\xi
Externí odkaz:
http://arxiv.org/abs/2312.02329
Autor:
Eljazzar, Roumaissae, Rossafi, Mohamed
In the present research, we embark on a comprehensive inquiry into K-Riesz bases and K-g Riesz bases as they manifest within pro-C*-Hilbert modules. Adopting a unique approach, we interpret the structure of K-Riesz bases through the lens of a bounded
Externí odkaz:
http://arxiv.org/abs/2311.04366
In this paper, we present controlled finite continuous frames in a finite dimensional Hilbert space and we study some properties of them. Parseval controlled integral frames are presented and we characterize operators that construct controlled integr
Externí odkaz:
http://arxiv.org/abs/2310.05992
Our main goal in this paper, is to generalize to Hilbert C*-modules the concept of fusion frames. Indeed we introduce the notion of *\~nfusion frames associated to weighted sequences of orthogonally complemented submodules of a Hilbert C*-module, and
Externí odkaz:
http://arxiv.org/abs/2308.10017
The concept of operator frame can be considered as a generalization of frame. Firstly, we introduce the notion of operator frame for the set of all adjointable operators $Hom_{\mathcal{A}}^{\ast}(\mathcal{X})$ on a Hilbert pro-$C^{\ast}$-module $\mat
Externí odkaz:
http://arxiv.org/abs/2212.07004