Zobrazeno 1 - 10
of 297
pro vyhledávání: '"Xu, Qingxiang"'
A term called the quasi-projection pair $(P,Q)$ was introduced recently by the authors, where $P$ is a projection and $Q$ is an idempotent on a Hilbert $C^*$-module $H$ satisfying $Q^*=(2P-I)Q(2P-I)$, in which $Q^*$ is the adjoint operator of the ide
Externí odkaz:
http://arxiv.org/abs/2404.12826
The main purpose of this paper is to give a full characterization of the operator distances from projections to an idempotent, which includes the minimum value, the maximum value and the intermediate values. Let $H$ be a Hilbert space and $\mathbb{B}
Externí odkaz:
http://arxiv.org/abs/2404.03433
The main purpose of this paper is, in the general setting of the adjointable operators on Hilbert $C^*$-modules, to develop two new tools that can be applied to deal with the positive solutions of certain operator equations, the operator norm as well
Externí odkaz:
http://arxiv.org/abs/2402.13479
This paper deals mainly with some aspects of the adjointable operators on Hilbert $C^*$-modules. A new tool called the generalized polar decomposition for each adjointable operator is introduced and clarified. As an application, the general theory of
Externí odkaz:
http://arxiv.org/abs/2312.07257
Publikováno v:
Linear Algebra Appl. 688 (2024), 21--43
For each pair of matrices $A$ and $B$ with the same order, let $\|A-B\|_F$ denote their Frobenius distance. This paper deals mainly with the Frobenius distances from projections to an idempotent matrix. For every idempotent $Q\in \mathbb{C}^{n\times
Externí odkaz:
http://arxiv.org/abs/2312.01233
The aim of this paper is to give new characterizations of some fundamental issues about idempotents. In the general setting of adjointable operators on Hilbert $C^*$-modules, a new term of quasi-projection pair is introduced. For each idempotent $Q$,
Externí odkaz:
http://arxiv.org/abs/2305.12984
Publikováno v:
Linear Multilinear Algebra 72 (2024), no. 3, 528--546
In the setting of adjointable operators on Hilbert $C^*$-modules, this paper deals with the polar decomposition of the product of three operators. The relationship between the polar decompositions associated with three operators is clarified. Based o
Externí odkaz:
http://arxiv.org/abs/2204.11633
Publikováno v:
Banach J. Math. Anal. 13 (2019), no. 3, 627--646
Let $T$ be an adjointable operator on a Hilbert $C^*$-module such that $T$ has the polar decomposition $T=UT|$. For each natural number $n$, $T$ is called an $(n+1)$-centered operator if $T^k=U^k|T^k|$ is the polar decomposition for $1\le k\le n+1$.
Externí odkaz:
http://arxiv.org/abs/2204.11577
Motivated by two norm equations used to characterize the Friedrichs angle, this paper studies $C^*$-isomorphisms associated with two projections by introducing the matched triple and the semi-harmonious pair of projections. A triple $(P,Q,H)$ is said
Externí odkaz:
http://arxiv.org/abs/2203.00827
Publikováno v:
In Linear Algebra and Its Applications 1 July 2024 692:62-70