Real Analysis Exchange

The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces

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.

Article information

Source
Real Anal. Exchange, Volume 41, Number 1 (2016), 245-252.

Dates
First available in Project Euclid: 29 March 2017

https://projecteuclid.org/euclid.rae/1490752826

Mathematical Reviews number (MathSciNet)
MR3511945

Zentralblatt MATH identifier
06848925

Citation

Castillo, René E.; Ramos-Fernández, Julio C.; Salas-Brown, Margot. The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces. Real Anal. Exchange 41 (2016), no. 1, 245--252. https://projecteuclid.org/euclid.rae/1490752826