14 citations · 24 across the 18 of their papers we have counts for
20 papers
On factorization of the shift semigroup
Tirthankar Bhattacharyya, Shubham Rastogi, Kalyan B. Sinha +1
Let $\E$ be a finite dimensional Hilbert space. This note finds all factorizations of the right shift semigroup $§^\E=(S_t^\E)_{t\ge 0}$ on $L^2(\R_+,\E)$ into the product of c…
Trace formula for contractions and it's representation in
Arup Chattopadhyay, Kalyan B. Sinha
The aim of this article is twofold: give a short proof of the existence of real spectral shift function and the associated trace formula for a pair of contractions, the difference…
A trace inequality for commuting tuple of operators
Gadadhar Misra, Paramita Pramanick, Kalyan B. Sinha
For a commuting - tuple of operators defined on a complex separable Hilbert space , let $\big [ \!\!\big [ \boldsymbol T^*, \boldsymbol T \big ]\!\!\…
Weighted Join Operators on Directed Trees
Sameer Chavan, Rajeev Gupta, Kalyan B. Sinha
A rooted directed tree with can be extended to a directed graph by adding a vertex to and declaring each v…
The cocycle identity holds under stopping
Alexander C. R. Belton, Kalyan B. Sinha
In recent work of the authors, it was shown how to use any finite quantum stop time to stop the CCR flow and its strongly continuous isometric cocycles (Q. J. Math. 65:1145-1164, 2…
Helton-Howe-Carey-Pincus Trace Formula and Krein's Theorem
Arup Chattopadhyay, Kalyan B. Sinha
In this article, we derive the Helton-Howe-Carey-Pincus trace formula as a consequence of Krein's trace formula.