Topics in Banach Space Theory
«“This excellent book is highly recommended to all graduate students and up who want to experience the beauty of the Banach space theory.” (Marián Fabian, Mathematical Reviews, June, 2017)
»
This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. Les mer
This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces.
From the reviews of the First Edition:
"The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."-Gilles Godefroy, Mathematical Reviews
Detaljer
- Forlag
- Springer International Publishing AG
- Innbinding
- Paperback
- Språk
- Engelsk
- Sider
- 508
- ISBN
- 9783319810638
- Utgave
- 2. utg.
- Utgivelsesår
- 2018
- Format
- 24 x 16 cm
Anmeldelser
«“This excellent book is highly recommended to all graduate students and up who want to experience the beauty of the Banach space theory.” (Marián Fabian, Mathematical Reviews, June, 2017)
»