Note on measures of noncompactness in Banach sequence spaces

• Autores: Antonio Martinón Cejas , Józef Banas
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 5, Nº 2, 1990, págs. 83-85
• Idioma: inglés
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• Resumen

  • 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.