Zobrazeno 1 - 10
of 300
pro vyhledávání: '"46M05"'
Let $\rho_1$ and $\rho_2$ be two states on $\mathbb{C}^{d_1}$ and $\mathbb{C}^{d_2}$ respectively. The marginal state space, denoted by $\mathcal{C}(\rho_1,\rho_2)$, is the set of all states $\rho$ on $\mathbb{C}^{d_1}\otimes \mathbb{C}^{d_2}$ with p
Externí odkaz:
http://arxiv.org/abs/2412.10041
We characterise absolutely dilatable completely positive maps on the space of all bounded operators on a Hilbert space that are also bimodular over a given von Neumann algebra as rotations by a suitable unitary on a larger Hilbert space followed by s
Externí odkaz:
http://arxiv.org/abs/2411.08086
Autor:
Amrutam, Tattwamasi, Jiang, Yongle
Let $G$ be a discrete group. Given unital $G$-$C^*$-algebras $\mathcal{A}$ and $\mathcal{B}$, we give an abstract condition under which every $G$-subalgebra $\mathcal{C}$ of the form $\mathcal{A}\subset \mathcal{C}\subset \mathcal{A}\otimes_{\text{mi
Externí odkaz:
http://arxiv.org/abs/2408.08635
Autor:
Cieliebak, Kai, Oancea, Alexandru
We show that the category of linearly topologized vector spaces over discrete fields constitutes the correct framework for algebraic structures on Floer homologies with field coefficients. Our case in point is the Poincar\'e duality theorem for Rabin
Externí odkaz:
http://arxiv.org/abs/2407.21741
Autor:
Chen, Deliang
The Machado--Bishop theorem for weighted vector-valued functions vanishing at infinity has been extensively studied. In this paper, we give an analogue of Machado's distance formula for bounded weighted vector-valued functions. A number of applicatio
Externí odkaz:
http://arxiv.org/abs/2407.19925
Autor:
Lyons, Terry, McLeod, Andrew D.
We investigate the consequence of two Lip$(\gamma)$ functions, in the sense of Stein, being close throughout a subset of their domain. A particular consequence of our results is the following. Given $K_0 > \varepsilon > 0$ and $\gamma > \eta > 0$ the
Externí odkaz:
http://arxiv.org/abs/2404.06849
Autor:
Peller, V. V.
The survey is devoted to diverse applications of Besov classes in operator theory. It is illustrated how Besov classes are used to describe Hankel operators of Schatten--von Neumann classes; various applications of this description are considered. Ne
Externí odkaz:
http://arxiv.org/abs/2402.09853
Autor:
Mohit, Jain, Ranjana
In this article, we discuss the relationship between Birkhoff-James orthogonality of elementary tensors in the space $L^{p}(\mu)\otimes^{\Delta_{p}}X,\; (1\leq p<\infty)$ with the individual elements in their respective spaces, where $X$ is a Banach
Externí odkaz:
http://arxiv.org/abs/2310.19442
Autor:
Chirvasitu, Alexandru
We prove a number of results linking properties of actions by compact groups (both quantum and classical) on Banach spaces, such as uniform continuity, spectrum finiteness and extensibility of the actions across several constructions. Examples includ
Externí odkaz:
http://arxiv.org/abs/2310.15139
Autor:
Singh, Lav Kumar
Publikováno v:
Journal of Mathematical Analysis and Applications, Volume 533, Issue 1, 2024, 128056
This article is intended towards the study of the bidual of generalized group algebra $L^1(G,\mA)$ equipped with two Arens product, where $G$ is any locally compact group and $\mA$ is a Banach algebra. We show that the left topological center of $(L^
Externí odkaz:
http://arxiv.org/abs/2309.09525