Homological methods in Banach space theory / Félix Cabello Sánchez, Jesús M.F. Castillo.

Format:

Book

Author/Creator:

Cabello Sánchez, Félix, author.

Castillo, Jesús M. F., author.

Series:

Cambridge studies in advanced mathematics ; 203.

Cambridge studies in advanced mathematics ; 203

Language:

English

Subjects (All):

Banach spaces.

Algebra, Homological.

Physical Description:

1 online resource (xi, 547 pages) : illustrations (black and white), digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2023.

Summary:

Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research.

Notes:

Also issued in print: 2023.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (viewed on February 2, 2023).

Other Format:

Print version :

ISBN:

9781108778312

Access Restriction:

Restricted for use by site license.