Narayan Rakshit

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math.FA2022

Orthogonal decompositions and twisted isometries II

Narayan Rakshit, Jaydeb Sarkar, Mansi Suryawanshi

We classify tuples of (not necessarily commuting) isometries that admit von Neumann-Wold decomposition. We introduce the notion of twisted isometries for tuples of isometries and p…

math.FA2020

Orthogonality in Banach Spaces via projective tensor product

Kousik Dhara, Narayan Rakshit, Jaydeb Sarkar +1

Let $X$ be a complex Banach space and $x, y \in X$ . By definition, we say that $x$ is Birkhoff-James orthogonal to $y$ if $∥ x + λ y ∥_{X} \geq ∥ x ∥_{X}$ for all $λ \in C$ . We…