Displaying similar documents to “Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces”

Criteria for weak compactness of vector-valued integration maps

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...

A Note on the Measure of Solvability

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.