Open Access
2016 The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces
René E. Castillo, Julio C. Ramos-Fernández, Margot Salas-Brown
Real Anal. Exchange 41(1): 245-252 (2016).

Abstract

We study some basic properties of Lorentz sequence spaces. Description of multiplication operators generated by a sequence is presented. We calculate the essential norm of multiplication operators acting on Lorentz sequence spaces.

Citation

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René E. Castillo. Julio C. Ramos-Fernández. Margot Salas-Brown. "The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces." Real Anal. Exchange 41 (1) 245 - 252, 2016.

Information

Published: 2016
First available in Project Euclid: 29 March 2017

zbMATH: 06848925
MathSciNet: MR3511945

Subjects:
Primary: 47B37 , 47B38
Secondary: 46E30

Keywords: Lorentz sequence spaces , multiplication operators

Rights: Copyright © 2016 Michigan State University Press

Vol.41 • No. 1 • 2016
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