Anindya Ghatak

activity

20182021

collaborators

4 papers

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…

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

Order ideals in order smooth $p$ -normed spaces

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