Zobrazeno 1 - 10
of 31
pro vyhledávání: '"GHATAK, ANINDYA"'
Given a natural number $n \geq 1$, the odometer semigroup $O_n$, also known as the adding machine or the Baumslag-Solitar monoid with two generators, is a well-known object in group theory. This paper examines the odometer semigroup in relation to re
Externí odkaz:
http://arxiv.org/abs/2405.14157
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
Autor:
Ghatak, Anindya
In this article, we attempt to introduce the "Multiplier algebra" associated to the Fock representation that arising from the left-cancellative semigroup $\mathcal{S}$ (denoted by $M(\mathcal{S})$) by adopting the concept of multiplier algebra of a $
Externí odkaz:
http://arxiv.org/abs/2208.11672
Autor:
Ghatak, Anindya, Sensarma, Aryaman
In this article, we investigate certain basic properties of invariant multilinear CP maps. For instance, we prove Russo-Dye type theorem for invariant multilinear positive maps on both commutative $C^*$-algebras and finite-dimensional $C^*$-algebras.
Externí odkaz:
http://arxiv.org/abs/2110.13426
In this article, we introduce local completely positive $k$-linear maps between locally $C^{\ast}$-algebras and obtain Stinespring type representation by adopting the notion of "invariance" defined by J. Heo for $k$-linear maps between $C^{\ast}$-alg
Externí odkaz:
http://arxiv.org/abs/2109.15124
Anar A. Dosiev in [Local operator spaces, unbounded operators and multinormed $C^*$-algebras, J. Funct. Anal. 255 (2008), 1724-1760], obtained a Stinespring's theorem for local completely positive maps (in short: local CP-maps) on locally $C^{\ast}$-
Externí odkaz:
http://arxiv.org/abs/2004.12717
Autor:
Ghatak, Anindya
We generalize the notion of $M$-ideals in order smooth $\infty$-normed spaces to "smooth $p$-order ideals" in order smooth $p$-normed spaces. We show that if $V$ is an order smooth $p$-normed space and $W$ is a closed subspace of $V$, then $W$ is a s
Externí odkaz:
http://arxiv.org/abs/1808.03035
Autor:
Ghatak, Anindya, Karn, Anil Kumar
In this paper, we study $L^1$-matrix convex sets $\{K_{n}\}$ in $*$-locally convex spaces and show that every C$^*$-ordered operator space is complete isometrically, completely isomorphic to $\{A_{0}(K_{n}, M_{n}(V))\}$ for a suitable $L^1$-matrix co
Externí odkaz:
http://arxiv.org/abs/1802.03481
Autor:
Ghatak, Anindya, Karn, Anil Kumar
We characterize $M$-ideals in order smooth $\infty$-normed spaces by extending the notion of split faces of the state space to those of the quasi-state space. We also characterize approximate order unit spaces as those order smooth $\infty$-normed sp
Externí odkaz:
http://arxiv.org/abs/1704.07628
Publikováno v:
In Indagationes Mathematicae April 2021 32(2):547-578
