Sequence spaces of operators on $l_{2}$

Jitti Rakbud; Sing-Cheong Ong

doi:10.4134/JKMS.2011.48.6.1125

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J. Korean Math. Soc. 2011; 48(6): 1125-1142

Printed November 1, 2011

https://doi.org/10.4134/JKMS.2011.48.6.1125

Sequence spaces of operators on $l_{2}$

Jitti Rakbud and Sing-Cheong Ong

Silpakorn University, Central Michigan University

Abstract

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Abstract

In this paper, we define some new sequence spaces of infinite matrices regarded as operators on $l_{2}$ 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

MSC numbers: Primary 47L05; Secondary 15A04