Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces

Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function parameter.

Bibliographic Details
Authors: Fernández Besoy, Blanca, Cobos Díaz, Fernando
Format: article
Publication Date:2019
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:Spanish
OAI Identifier:oai:docta.ucm.es:20.500.14352/13173
Online Access:https://hdl.handle.net/20.500.14352/13173
Access Level:Open access
Keyword:517.98
Análisis funcional
Espacios de Banach
Real interpolation
Measure of non-compactness
Compact
Interpolation with a function parameter
Bilinear operators
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
Description
Summary:Working in the setting of quasi-Banach couples, we establish a formula for the measure of non-compactness of bilinear operators interpolated by the general real method. The result applies to the real method and to the real method with a function parameter.