Matrix Transformations, Measures of Noncompactness, and Applications

S. A. Mohiuddine, Józef Banaś, M. Mursaleen, Richard F. Patterson, Abdullah Alotaibi, Asadollah Aghajani

Producción científica: Editorialrevisión exhaustiva

Resumen

The significance of the theory of matrix transformations has been strikingly demonstrated in various contexts, for example, in Fourier analysis, analytic continuation, quantum mechanics, probability theory, and approximation theory. Also the theory of matrix transformations on one hand and measures of noncompactness on the other hand are successfully linked to obtain necessary and sufficient conditions for matrix maps between certain sequence spaces of a general class to be compact operators. Recently, these results on compact matrix operators have become a useful tool in the study of infinite system of differential and integrodifferential equations in sequence spaces.
Idioma originalEnglish
Número de artículo178042
PublicaciónJournal of Function Spaces
Volumen2014
N.º1
DOI
EstadoPublished - ene 2014

ASJC Scopus Subject Areas

  • Analysis

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