Real Analysis Exchange

The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces

René E. Castillo, Julio C. Ramos-Fernández, and Margot Salas-Brown

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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

Permanent link to this document
https://projecteuclid.org/euclid.rae/1490752826

Mathematical Reviews number (MathSciNet)
MR3511945

Zentralblatt MATH identifier
06848925

Subjects
Primary: 47B37: Operators on special spaces (weighted shifts, operators on sequence spaces, etc.) 47B38: Operators on function spaces (general)
Secondary: 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Keywords
Lorentz sequence spaces Multiplication operators

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


Export citation