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By Asuman Güven Aksoy, Mohamed A. Khamsi (auth.)

A unified account of the main new advancements encouraged by means of Maurey's program of Banach area ultraproducts to the fastened aspect concept for non-expansive mappings is given during this textual content. the 1st 3rd of the ebook is dedicated to laying a cautious beginning for the particular fastened aspect theoretic effects which persist with. Set theoretic and Banach area ultraproducts structures are studied intimately within the moment a part of the e-book, whereas the rest of the publication offers an advent to the classical mounted element idea as well as a dialogue of standard constitution. this can be the 1st e-book which stories classical mounted aspect concept for non-expansive maps within the view of non-standard methods.

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