A. Sensarma

collaborators

3 papers

math.FA2021

A note on commutative and noncommutative Gurariy spaces

Pradipta Bandyopadhyay, Aryaman Sensarma

In this short note, we answer two questions about Gurariy spaces asked in the literature in the affirmative. We also prove the analogue of one of the results for the noncommutative…

math.FA2021

Idempotent, model, and Toeplitz operators attaining their norms

Neeru Bala, Kousik Dhara, Jaydeb Sarkar +1

We study idempotent, model, and Toeplitz operators that attain the norm. Notably, we prove that if $Q$ is a backward shift invariant subspace of the Hardy space $H^2(\mat…

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…