The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces

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.

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Bibliographic Details
Published inReal analysis exchange Vol. 41; no. 1; p. 245
Main Authors René E. Castillo, Julio C. Ramos-Fernández, Margot Salas-Brown
Format Journal Article
LanguageEnglish
Published East Lansing Michigan State University Press 2016
Subjects
Mathematics
Multiplication
Norms
Operators
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Summary: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.
ISSN:0147-1937
1930-1219
DOI:10.14321/realanalexch.41.1.0245