Multilinear H older-type inequalities on Lorentz sequence spaces

Date
2008-07
Authors
Carando, Daniel
Dimant, Verónica
Sevilla-Peris, Pablo
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Journal Title
Journal ISSN
Volume Title
Publisher
Universidad de San Andrés. Departamento de Matemáticas y Ciencias
Abstract
We establish Hölder type inequalities for Lorentz sequence spaces and their duals. In order to achieve these and some related inequalities, we study diagonal multilinear forms in general sequence spaces, and obtain estimates for their norms. We also consider norms of multilinear forms in different Banach multilinear ideals.
Description
Fil: Carando, Daniel. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.
Fil: Dimant, Verónica. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.
Fil: Sevilla-Peris, Pablo. Universidad de San Andrés. Departamento de Matemática y Ciencias; Argentina.
Keywords
Operator spaces , Linear operators , Banach spaces
Citation