Note on measures of noncompactness in Banach sequence spaces.

Jozef Banas; Antonio Martinón

Extracta Mathematicae (1990)

  • Volume: 5, Issue: 2, page 83-85
  • ISSN: 0213-8743

Abstract

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The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance).In this note we summarize our papers [5,6]. We study measures of noncompactness and measures of weak noncompactness in some Banach sequence spaces.

How to cite

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Banas, Jozef, and Martinón, Antonio. "Note on measures of noncompactness in Banach sequence spaces.." Extracta Mathematicae 5.2 (1990): 83-85. <http://eudml.org/doc/39878>.

@article{Banas1990,
abstract = {The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance).In this note we summarize our papers [5,6]. We study measures of noncompactness and measures of weak noncompactness in some Banach sequence spaces.},
author = {Banas, Jozef, Martinón, Antonio},
journal = {Extracta Mathematicae},
keywords = {Medidas de no compacidad; Espacio de Banach; Espacio de sucesiones; Espacios de funciones medibles},
language = {eng},
number = {2},
pages = {83-85},
title = {Note on measures of noncompactness in Banach sequence spaces.},
url = {http://eudml.org/doc/39878},
volume = {5},
year = {1990},
}

TY - JOUR
AU - Banas, Jozef
AU - Martinón, Antonio
TI - Note on measures of noncompactness in Banach sequence spaces.
JO - Extracta Mathematicae
PY - 1990
VL - 5
IS - 2
SP - 83
EP - 85
AB - The notion of a measure of noncompactness turns out to be a very important and useful tool in many branches of mathematical analysis. The current state of this theory and its applications are presented in the books [1,4,11] for example.The notion of a measure of weak noncompactness was introduced by De Blasi [8] and was subsequently used in numerous branches of functional analysis and the theory of differential and integral equations (cf. [2,3,9,10,11], for instance).In this note we summarize our papers [5,6]. We study measures of noncompactness and measures of weak noncompactness in some Banach sequence spaces.
LA - eng
KW - Medidas de no compacidad; Espacio de Banach; Espacio de sucesiones; Espacios de funciones medibles
UR - http://eudml.org/doc/39878
ER -

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