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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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.
AbstractList 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.
Author Julio C. Ramos-Fernández
Margot Salas-Brown
René E. Castillo
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SubjectTerms Mathematics
Multiplication
Norms
Operators
Title The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces
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