SCHATTEN'S THEOREM ON ABSOLUTE SCHUR ALGEBRAS

Title & Authors
SCHATTEN'S THEOREM ON ABSOLUTE SCHUR ALGEBRAS
Rakbud, Jitti; Chaisuriya, Pachara;

Abstract
In this paper, we study duality in the absolute Schur algebras that were first introduced in [1] and extended in [5]. This is done in a way analogous to the classical Schatten's Theorem on the Banach space $\small{B(l_2)}$ of bounded linear operators on $\small{l_2}$ involving the duality relation among the class of compact operators K, the trace class $\small{C_1}$ and $\small{B(l_2)}$. We also study the reflexivity in such the algebras.
Keywords
Schur product;Banach algebra;dual space;
Language
English
Cited by
References
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J. Rakbud and P. Chaisuriya, Classes of infinite matrices over Banach algebras, J. Anal. Appl. 3 (2005), no. 1, 31-46