Some remarks on an operator equation in a Banach space
Bogdan Rzepecki (1980)
Annales Polonici Mathematici
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Bogdan Rzepecki (1980)
Annales Polonici Mathematici
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Daria Bugajewska (2000)
Mathematica Slovaca
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Pachpatte, Deepak B. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Stanisław Szufla (1986)
Rendiconti del Seminario Matematico della Università di Padova
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Giuseppina Barbieri, Francisco J. García-Pacheco, Daniele Puglisi (2014)
Studia Mathematica
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Laurent Vanderputten (2001)
Extracta Mathematicae
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Susumu Okada, Werner J. Ricker (1994)
Commentationes Mathematicae Universitatis Carolinae
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Criteria are given for determining the weak compactness, or otherwise, of the integration map associated with a vector measure. For instance, the space of integrable functions of a weakly compact integration map is necessarily normable for the mean convergence topology. Results are presented which relate weak compactness of the integration map with the property of being a bicontinuous isomorphism onto its range. Finally, a detailed description is given of the compactness properties for...
D. Caponetti, G. Trombetta (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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Let X be an infinite-dimensional Banach space. The measure of solvability ν(I) of the identity operator I is equal to 1.