C. H. Namitha

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20222025

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math.OA2025

Doubly Commuting Semigroups of Isometries

C. H. Namitha, S. Sundar, Shankar Veerabathiran

In this paper, we discuss the structure of doubly commuting semigroups of isometries. We record a new proof of Cooper's theorem in the Hilbert module setting. We discuss the Fell t…

math.OA2023

On Multiparameter CAR Flows

C. H. Namitha, S. Sundar

Let $P$ be a pointed, closed convex cone in $R^{d}$ . We prove that for two pure isometric representations $V^{(1)}$ and $V^{(2)}$ of $P$ , the associated CAR flows $β^{V^{(1)…

math.OA2022

Multiparameter Decomposable Product Systems

C. H. Namitha, S. Sundar

In [8], Arveson proved that a $1$ -parameter decomposable product system is isomorphic to the product system of a CCR flow. We show that the structure of a generic decomposable prod…