The concentration compactness method for sequences of functions consists in isolating singular behavior of a sequence in elementary sequences called ubbles" that results in rened convergence. Following [14] that studies con- centration structure of sequences in Banach spaces, the present paper provides comparable results for a class of metric spaces, uniformly rotund spaces, that possess an analog of weak (Banach-Alaoglu) compactness property: sequential compactness of bounded sets with respect to polar convergence.

Profile Decomposition in Metric Spaces / Devillanova, Giuseppe; Solimini, Sergio Fausto Libero; Tintarev, Cyril. - In: PURE AND APPLIED FUNCTIONAL ANALYSIS. - ISSN 2189-3756. - 2:4(2017), pp. 599-628.

Profile Decomposition in Metric Spaces

Giuseppe Devillanova;Sergio Solimini;
2017-01-01

Abstract

The concentration compactness method for sequences of functions consists in isolating singular behavior of a sequence in elementary sequences called ubbles" that results in rened convergence. Following [14] that studies con- centration structure of sequences in Banach spaces, the present paper provides comparable results for a class of metric spaces, uniformly rotund spaces, that possess an analog of weak (Banach-Alaoglu) compactness property: sequential compactness of bounded sets with respect to polar convergence.
2017
Profile Decomposition in Metric Spaces / Devillanova, Giuseppe; Solimini, Sergio Fausto Libero; Tintarev, Cyril. - In: PURE AND APPLIED FUNCTIONAL ANALYSIS. - ISSN 2189-3756. - 2:4(2017), pp. 599-628.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/120079
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