SEQUENCE SPACES OF OPERATORS ON l2

Title & Authors
SEQUENCE SPACES OF OPERATORS ON l2
Rakbud, Jitti; Ong, Sing-Cheong;

Abstract
In this paper, we define some new sequence spaces of infinite matrices regarded as operators on $\small{l_2}$ by using algebraic properties of such the matrices under the Schur product multiplication. Some of their basic properties as well as duality and preduality are discussed.
Keywords
bounded matrix;unbounded matrix;compact matrix;
Language
English
Cited by
1.
Spectrum localizations for matrix operators on lp spaces, Applied Mathematics and Computation, 2014, 249, 541
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