Anindya Ghatak

activity

20172024

most cited

M

-ideals and split faces of the quasi state space of a non-unital ordered Banach space

1 citations · 1 across the 8 of their papers we have counts for

collaborators

9 papers

math.FA2024

Contractive representations of odometer semigroup

Anindya Ghatak, Narayan Rakshit, Jaydeb Sarkar +1

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 grou…

math.FA2023

Operator moment dilations as block operators

B. V. Rajarama Bhat, Anindya Ghatak, Santhosh Kumar Pamula

Let $H$ be a complex Hilbert space and let ${A_{n}}_{n \geq 1}$ be a sequence of bounded linear operators on $H$ . Then a bounded operator $B$ on a Hilb…

math.OA2022

Bounded multiplier algebras arising from Fock representation associated to semigroups

Anindya Ghatak

In this article, we attempt to introduce the "Multiplier algebra" associated to the Fock representation that arising from the left-cancellative semigroup $S$ (denoted by…

math.OA2021

Russo-Dye type Theorem, Stinespring representation,and Radon Nikodym dervative for invariant block multilinear completely positive maps

Anindya Ghatak, Aryaman Sensarma

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…

math.OA2021

A Radon-Nikodým theorem for local completely positive invariant multilinear maps

Anindya Ghatak, Santhosh Kumar Pamula

In this article, we introduce local completely positive $k$ -linear maps between locally $C^{*}$ -algebras and obtain Stinespring type representation by adopting the notion of "in…

math.OA2020

Stinespring's Theorem for Unbounded Operator valued Local completely positive maps and Its Applications

B. V. Rajarama Bhat, Anindya Ghatak, P. Santhosh Kumar

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 com…

math.FA2018

Order ideals in order smooth $p$ -normed spaces

Anindya Ghatak

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…

math.OA2018

Quantization of $A_{0} (K)$ -Spaces

Anindya Ghatak, Anil Kumar Karn

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 iso…

math.FA2017★ 1 cited

$M$ -ideals and split faces of the quasi state space of a non-unital ordered Banach space

Anindya Ghatak, Anil Kumar Karn

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…

Contractive representations of odometer semigroup

Operator moment dilations as block operators

Bounded multiplier algebras arising from Fock representation associated to semigroups

Russo-Dye type Theorem, Stinespring representation,and Radon Nikodym dervative for invariant block multilinear completely positive maps

A Radon-Nikodým theorem for local completely positive invariant multilinear maps

Stinespring's Theorem for Unbounded Operator valued Local completely positive maps and Its Applications

Order ideals in order smooth p-normed spaces

Quantization of A0​(K)-Spaces

M-ideals and split faces of the quasi state space of a non-unital ordered Banach space

Order ideals in order smooth $p$ -normed spaces

Quantization of $A_{0} (K)$ -Spaces

$M$ -ideals and split faces of the quasi state space of a non-unital ordered Banach space