3 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 -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
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,…