Kousik Dhara

collaborators

2 papers

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…