Interpolation of the measure of non-compactness between quasi-Banach spaces.

Pedro Fernández Martínez

Revista Matemática Complutense (2006)

  • Volume: 19, Issue: 2, page 477-498
  • ISSN: 1139-1138

Abstract

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We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.

How to cite

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Fernández Martínez, Pedro. "Interpolation of the measure of non-compactness between quasi-Banach spaces.." Revista Matemática Complutense 19.2 (2006): 477-498. <http://eudml.org/doc/41911>.

@article{FernándezMartínez2006,
abstract = {We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.},
author = {Fernández Martínez, Pedro},
journal = {Revista Matemática Complutense},
keywords = {Espacios cuasi-Banach; Interpolación; Operadores compactos; Espacios lineales normados; measure of noncompactness; interpolation theory; quasi-Banach spaces},
language = {eng},
number = {2},
pages = {477-498},
title = {Interpolation of the measure of non-compactness between quasi-Banach spaces.},
url = {http://eudml.org/doc/41911},
volume = {19},
year = {2006},
}

TY - JOUR
AU - Fernández Martínez, Pedro
TI - Interpolation of the measure of non-compactness between quasi-Banach spaces.
JO - Revista Matemática Complutense
PY - 2006
VL - 19
IS - 2
SP - 477
EP - 498
AB - We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.
LA - eng
KW - Espacios cuasi-Banach; Interpolación; Operadores compactos; Espacios lineales normados; measure of noncompactness; interpolation theory; quasi-Banach spaces
UR - http://eudml.org/doc/41911
ER -

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