Zobrazeno 1 - 10
of 672
pro vyhledávání: '"Moslehian, M."'
We introduce the notion of the separated pair of closed submodules in the setting of Hilbert $C^*$-modules. We demonstrate that even in the case of Hilbert spaces this concept has several nice characterizations enriching the theory of separated pairs
Externí odkaz:
http://arxiv.org/abs/2405.04852
We extend a work of Pedersen and Takesaki by giving some equivalent conditions for the existence of a positive solution of the so-called Pedersen--Takesaki operator equation $XHX=K$ in the setting of Hilbert $C^*$-modules. It is known that the Dougla
Externí odkaz:
http://arxiv.org/abs/2111.12601
There are numerous cases of discrepancies between results obtained in the setting of real Banach spaces and those obtained in the complex context. This article is a modern exposition of the subtle differences between key results and theories for comp
Externí odkaz:
http://arxiv.org/abs/2107.03740
Autor:
Moslehian, M. S.
The aim of this paper is to present a unified framework in the setting of Hilbert $C^*$-modules for the scalar- and vector-valued reproducing kernel Hilbert spaces and $C^*$-valued reproducing kernel spaces. We investigate conditionally negative defi
Externí odkaz:
http://arxiv.org/abs/2105.06515
We introduce the notion of Hilbert $C^*$-module independence: Let $\mathscr{A}$ be a unital $C^*$-algebra and let $\mathscr{E}_i\subseteq \mathscr{E},\,\,i=1, 2$, be ternary subspaces of a Hilbert $\mathscr{A}$-module $\mathscr{E}$. Then $\mathscr{E}
Externí odkaz:
http://arxiv.org/abs/2104.09481
Publikováno v:
J. Math. Anal. Appl. 505 (2022), no. 1, 125471
We give a modified definition of a reproducing kernel Hilbert $C^*$-module (shortly, $RKHC^*M$) without using the condition of self-duality and discuss some related aspects; in particular, an interpolation theorem is presented. We investigate the ext
Externí odkaz:
http://arxiv.org/abs/2104.09552
In this expository article, we give several examples showing how drastically different can be the behavior of operators acting on finite versus infinite dimensional Hilbert spaces. This essay is written as in such a friendly-reader to show that the s
Externí odkaz:
http://arxiv.org/abs/2008.03668
We employ some techniques involving projections in a von Neumann algebra to establish some maximal inequalities such as the strong and weak symmetrization, Levy, Levy-Skorohod, and Ottaviani inequalities in the realm of the quantum probability spaces
Externí odkaz:
http://arxiv.org/abs/2004.10259
In the first part of the paper, we use states on $C^*$-algebras in order to establish some equivalent statements to equality in the triangle inequality, as well as to the parallelogram identity for elements of a pre-Hilbert $C^*$-module. We also char
Externí odkaz:
http://arxiv.org/abs/2001.10053
Let $\Phi$ be a unital positive linear map and let $A$ be a positive invertible operator. We prove that there exist partial isometries $U$ and $V$ such that \[ |\Phi(f(A))\Phi(A)\Phi(g(A))|\leq U^*\Phi(f(A)Ag(A))U \] and \[\left|\Phi\left(f(A)\right)
Externí odkaz:
http://arxiv.org/abs/2001.09962