Real Analysis Exchange

The Essential Norm of Multiplication Operators on Lorentz Sequence Spaces

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

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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

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

First available in Project Euclid: 29 March 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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.)

Lorentz sequence spaces Multiplication operators


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.

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