This site uses cookies to deliver our services, improve performance, for analytics, and (if not signed in) for advertising. By using LibraryThing you acknowledge that you have read and understand our Terms of Service and Privacy Policy. Your use of the site and services is subject to these policies and terms.
Hide this

Results from Google Books

Click on a thumbnail to go to Google Books.

Rearrangements of series in Banach spaces by…

Rearrangements of series in Banach spaces

by V. M. Kadet︠s︡

MembersReviewsPopularityAverage ratingConversations
Recently added bygipilt

No tags.



Sign up for LibraryThing to find out whether you'll like this book.

No current Talk conversations about this book.

No reviews
no reviews | add a review
You must log in to edit Common Knowledge data.
For more help see the Common Knowledge help page.
Series (with order)
Canonical title
Original title
Alternative titles
Original publication date
Important places
Important events
Related movies
Awards and honors
First words
Last words
Disambiguation notice
Publisher's editors
Publisher series
Original language
Canonical DDC/MDS

References to this work on external resources.

Wikipedia in English (3)

Book description
Haiku summary

Amazon.com Product Description (ISBN 0821845462, Hardcover)

In a contemporary course in mathematical analysis, the concept of series arises as a natural generalization of the concept of a sum over finitely many elements, and the simplest properties of finite sums carry over to infinite series. Standing as an exception among these properties is the commutative law, for the sum of a series can change as a result of a rearrangement of its terms. This raises two central questions: for which series is the commutative law valid, and just how can a series change upon rearrangement of its terms? Both questions have been answered for all finite-dimensional spaces, but the study of rearrangements of a series in an infinite-dimensional space continues to this day. In recent years, a close connection has been discovered between the theory of series and the so-called finite properties of Banach spaces, making it possible to create a unified theory from the numerous separate results. This book is the first attempt at such a unified exposition. This book would be an ideal textbook for advanced courses, for it requires background only at the level of standard courses in mathematical analysis and linear algebra and some familiarity with elementary concepts and results in the theory of Banach spaces. The authors present the more advanced results with full proofs, and they have included a large number of exercises of varying difficulty. A separate section in the last chapter is devoted to a detailed survey of open questions. The book should prove useful and interesting both to beginning mathematicians and to specialists in functional analysis.

(retrieved from Amazon Mon, 05 Sep 2016 23:11:41 -0400)

No library descriptions found.

Quick Links

Popular covers


Average: No ratings.

Is this you?

Become a LibraryThing Author.


About | Contact | Privacy/Terms | Help/FAQs | Blog | Store | APIs | TinyCat | Legacy Libraries | Early Reviewers | Common Knowledge | 128,069,477 books! | Top bar: Always visible