activity
20192026
most citedStrongly irreducible factorization of quaternionic operators and Riesz decomposition theorem

4 citations · 4 across the 10 of their papers we have counts for

collaborators

10 papers

math.FA2026

Functional Models of Abelian Locally von Neumann Algebras and Direct Integrals of Locally Hilbert Spaces

Aurelian Gheondea, Chaitanya J. Kulkarni, Santhosh Kumar Pamula

We obtain a functional model for an arbitrary Abelian locally von Neumann algebra acting on a representing locally Hilbert space under the assumption that the index directed set is…

math.FA2025

Direct integral of locally Hilbert spaces over a locally measure space

Chaitanya J. Kulkarni, Santhosh Kumar Pamula

In this work, we introduce the concept of the direct integral of locally Hilbert spaces by generalizing the classical notion of a measure space to that of a locally measure space.…

math.FA2025

Direct integral of locally Hilbert spaces

Chaitanya J. Kulkarni, Santhosh Kumar Pamula

In this work, we introduce the concept of the direct integral of locally Hilbert spaces. This notion is formulated such that the direct integral of locally Hilbert spaces forms a l…

math.OA2024

Character Space and Gelfand type representation of locally C^{*}-algebra

Santhosh Kumar Pamula, Rifat Siddique

In this article, we identify a suitable approach to define the character space of a commutative unital locally -algebra via the notion of the inductive limit of topologic…

math.FA2024

Direct Integral and Decompoisitions of Locally Hilbert spaces

Chaitanya J. Kulkarni, Santhosh Kumar Pamula

In this work, we introduce the concept of direct integral of locally Hilbert spaces by using the notion of locally standard measure space (analogous to standard measure space defin…

math.FA2023

Operator moment dilations as block operators

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

Let be a complex Hilbert space and let be a sequence of bounded linear operators on . Then a bounded operator on a Hilb…

math.FA2022

Pseudo -spectra of special operators in quaternionic Hilbert spaces

Kousik Dhara, Santhosh Kumar Pamula

For a bounded quaternionic operator on a right quaternionic Hilbert space and , the pseudo -spectrum of is defined as \begin{align*} Λ_{\va…

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 -linear maps between locally -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 -algebras, J. Funct. Anal. 255 (2008), 1724-1760], obtained a Stinespring's theorem for local com…

math.FA2019★ 4 cited

Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem

P. Santhosh Kumar

Let be a bounded quaternionic normal operator on a right quaternionic Hilbert space . We show that can be factorized in a strongly irreducible sense, that is,…