7 citations · 22 across the 7 of their papers we have counts for
11 papers
A caricature of dilation theory
B V Rajarama Bhat, Sandipan De, Narayan Rakshit
We present a set-theoretic version of some basic dilation results of operator theory. The results we have considered are Wold decomposition, Halmos dilation, Sz. Nagy dilation, int…
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…
Real Normal Operators and Williamson's Normal Form
B V Rajarama Bhat, Tiju Cherian John
A simple proof is provided to show that any bounded normal operator on a real Hilbert space is orthogonally equivalent to its transpose(adjoint). A structure theorem for invertible…
Additive units of product systems
B. V. Rajarama Bhat, J. Martin Lindsay, Mithun Mukherjee
We introduce the notion of additive units, or `addits', of a pointed Arveson system, and demonstrate their usefulness through several applications. By a pointed Arveson system we m…
Pure Semigroups of Isometries on Hilbert C*-Modules
B. V. Rajarama Bhat, Michael Skeide
We show that pure strongly continuous semigroups of adjointable isometries on a Hilbert C*-module are standard right shifts. By counter examples, we illustrate that the analogy of…
The Spatial Product of Arveson Systems is Intrinsic
B. V. Rajarama Bhat, Volkmar Liebscher, Mithun Mukherjee +1
We prove that the spatial product of two spatial Arveson systems is independent of the choice of the reference units. This also answers the same question for the minimal dilation t…