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pro vyhledávání: '"Bhat, B"'
The notions of joint and outer spectral radii are extended to the setting of Hilbert $C^*$-bimodules. A Rota-Strang type characterisation is proved for the joint spectral radius. In this general setting, an approximation result for the joint spectral
Externí odkaz:
http://arxiv.org/abs/2405.15009
Autor:
Bhat, B. V. Rajarama, Chongdar, Arghya
A problem of completing a linear map on C*-algebras to a completely positive map is analyzed. It is shown that whenever such a completion is feasible there exists a unique minimal completion. This theorem is used to show that under some very general
Externí odkaz:
http://arxiv.org/abs/2306.15952
The Weyl operators give a convenient basis of $M_n(\mathbb{C})$ which is also orthonormal with respect to the Hilbert-Schmidt inner product. The properties of such a basis can be generalised to the notion of a nice error basis(NEB), as introduced by
Externí odkaz:
http://arxiv.org/abs/2305.14274
Let $\mathcal{H}$ be a complex Hilbert space and let $\big\{A_{n}\big\}_{n\geq 1}$ be a sequence of bounded linear operators on $\mathcal{H}$. Then a bounded operator $B$ on a Hilbert space $\mathcal{K} \supseteq \mathcal{H}$ is said to be a dilation
Externí odkaz:
http://arxiv.org/abs/2302.13873
Publikováno v:
Positivity 27, 51 (2023)
We prove a Schoenberg-type correspondence for non-unital semigroups which generalizes an analogous result for unital semigroup proved by Michael Sch\"urmann. It characterizes the generators of semigroups of linear maps on $M_n(C)$ which are $k$-posit
Externí odkaz:
http://arxiv.org/abs/2301.10679
Publikováno v:
Linear Algebra Appl. 678 (2023) 191-205
We identify and characterize unital completely positive (UCP) maps on finite dimensional $C^*$-algebras for which the Choi-Effros product extended to the space generated by peripheral eigenvectors matches with the original product. We analyze a decom
Externí odkaz:
http://arxiv.org/abs/2212.07351
Some easily verifiable sufficient conditions for the nonexistence of iterative roots for multifunctions on arbitrary nonempty sets are presented. Typically if the graph of the multifunction has a distinguished point with a relatively large number of
Externí odkaz:
http://arxiv.org/abs/2212.05305
It is shown that the operator space generated by peripheral eigenvectors of a unital completely positive map on a von Neumann algebra has a $C^*$-algebra structure. This extends the notion of non-commutative Poisson boundary by including the point sp
Externí odkaz:
http://arxiv.org/abs/2209.07731
In this paper we develop a tool to identify functions which have no iterative roots of any order. Using this, we prove that when $X$ is $[0,1]^m$, $\mathbb{R}^m$ or $S^1$, every non-empty open set of the space $\mathcal{C}(X)$ of continuous self-maps
Externí odkaz:
http://arxiv.org/abs/2208.04093