7 papers
A Bishop-Phelps-Bollobas theorem for disc algebra
Neeru Bala, Jaydeb Sarkar, Aryaman Sensarma
Let represent the open unit disc in . Denote by the disc algebra, and the Banach space of all boun…
Automorphisms and generalized projections on spaces of analytic functions
Rahul Maurya, Jaydeb Sarkar, Aryaman Sensarma
We present complete classifications of automorphisms of two closed subalgebras of the bounded analytic functions on the open unit disc , namely, the subalgebra of funct…
Russo-Dye type Theorem, Stinespring representation,and Radon Nikodym dervative for invariant block multilinear completely positive maps
Anindya Ghatak, Aryaman Sensarma
In this article, we investigate certain basic properties of invariant multilinear CP maps. For instance, we prove Russo-Dye type theorem for invariant multilinear positive maps on…
A Bishop-Phelps-Bollobás theorem for bounded analytic functions
Neeru Bala, Kousik Dhara, Jaydeb Sarkar +1
Let denote the Banach algebra of all bounded analytic functions on the open unit disc and denote by the Banach space of all bounded linear operat…
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…
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 is a backward shift invariant subspace of the Hardy space $H^2(\mat…
Orthogonality in Banach Spaces via projective tensor product
Kousik Dhara, Narayan Rakshit, Jaydeb Sarkar +1
Let be a complex Banach space and . By definition, we say that is Birkhoff-James orthogonal to if for all . We…