Toeplitz Like Operators on 2-nuclear Tensor Product of Hardy Spaces

Abstract

in this paper, we investigated Toeplitz like operators on vector valued Hardy spaces. Toeplitz like operators on 2-nuclear tensor product of Hardy spaces are then constructed and described using the theory of p-nuclear tensor product of Banach spaces, and their basic algebraic properties and spectrum are analyzed. Key-Words: Toeplitz like operators , 2-nuclear tensor product of hardy spaces. Received: January 26, 2021. Revised: May 6, 2021. Accepted: May 14, 2021. Published: May 20, 2021.