𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Functional analysis and infinite-dimensional geometry

✍ Scribed by Marian Fabian, Petr Habala, Petr Hajek, Vicente Montesinos Santalucia, Jan Pelant, Vaclav Zizler


Book ID
127420238
Publisher
Springer
Year
2001
Tongue
English
Weight
4 MB
Series
CMS books in mathematics 8
Edition
1
Category
Library
City
New York
ISBN-13
9780387952192

No coin nor oath required. For personal study only.

✦ Synopsis


This book introduces the reader to the basic principles of functional analysis theory that are close to nonlinear analysis and topology. The presentation is self-contained, including many folklore results, and the proofs are accessible to students with the usual background in real analysis and topology. Several results are published here for the first time in a monograph. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints. The book is also directed to young researchers in functional analysis and can serve as a reference book, to areas of Banach space.


πŸ“œ SIMILAR VOLUMES


The Geometry of Infinite Dimensional Gro
✍ Boris Khesin, Robert Wendt πŸ“‚ Library πŸ“… 2009 πŸ› Springer 🌐 English βš– 2 MB

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes

The geometry of infinite-dimensional gro
✍ Boris Khesin, Robert Wendt πŸ“‚ Library πŸ“… 2008 πŸ› Springer 🌐 English βš– 3 MB

This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. While infinite-dimensional groups often exhibit very peculiar features, this book describes

Infinite-dimensional analysis
✍ Charalambos D. Aliprantis, Kim C. Border πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English βš– 4 MB

This monograph presents a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst. It develops the

Infinite Dimensional Analysis || Convexi
✍ , πŸ“‚ Article πŸ“… 2006 πŸ› Springer-Verlag 🌐 German βš– 651 KB

This monograph presents a complete and rigorous study of modern functional analysis. It is intended for the student or researcher who could benefit from functional analytic methods, but does not have an extensive background and does not plan to make a career as a functional analyst. It develops the