Descriptive Topology in Selected Topics of Functional Analysis: Updated and Expanded, 2nd Edition eBook

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A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. Written by experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areas of point-set and descriptive topology, modern analysis, set theory, topological vector spaces, including Banach spaces, and continuous function spaces. This second edition continues in the same spirit of the acclaimed first edition, providing new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis. It has been expanded by adding completely new Chapters 17–21, presenting results concerning, but not limited to, topological spaces and groups with G-bases, various concepts related to networks and their applications in topology and functional analysis, and those that develop topological and analytic methods related to Grothendieck Banach spaces and Boolean algebras with the Nikodym property. The book will continue to serve as a reference for present and future work done in this area and could serve as a valuable supplement to advanced graduate courses in functional analysis, set-theoretic topology, or the theory of function spaces.

This is a digital product.

Descriptive Topology in Selected Topics of Functional Analysis: Updated and Expanded 2nd Edition is written by Jerzy Kąkol; Wiesław Kubiś; Manuel López-Pellicer; Damian Sobota and published by Springer. The Digital and eTextbook ISBNs for Descriptive Topology in Selected Topics of Functional Analysis are 9783031760624, 303176062X and the print ISBNs are 9783031760617, 3031760611.