Introduction to Tensor Products of Banach Spaces / Edition 1

Paperback (Print)
Buy New
Buy New from BN.com
$102.51
Used and New from Other Sellers
Used and New from Other Sellers
from $84.24
Usually ships in 1-2 business days
(Save 22%)
Other sellers (Paperback)
  • All (3) from $84.24   
  • New (3) from $84.24   

Overview

This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.

Read More Show Less

Editorial Reviews

From the Publisher
From the reviews:

"The book under review is intended to serve as an introduction to the theory of tensor products of Banach spaces. … it is a most welcome addition to the existing literature and appears to be well-suited as a guide and as a textbook in lectures, seminars, etc., for students … . Each chapter is accompanied by a set of exercises. … The book is very carefully written and edited. The text makes very good reading … ." (Hans Jarchow, Zentralblatt MATH, Vol. 1090 (16), 2006)

"This book provides a self-contained introduction to tensor products of Banach spaces. … Each chapter is accompanied by exercises with illustrate mathematical concepts and propositions introduced there. The more or less straightforward solution of most of these exercises leads the reader to a better understanding of the material. … It is accessible, clearly organized, and well written. It can be highly recommended to graduate students and mathematicians interested in functional analysis." (K. –D Kürsten, Zeitschrift für Analysis und ihre Anwendungen, Vol. 24 (4), 2005)

"The author sets out to give an accessible account of some chosen topics from the theory of tensor products for Banach spaces … . The result is a very well written, beautiful book … presenting a coherent, originally arranged and presented overview of various classical results. The book is self-contained and presented in a way that it at the same time is an accessible text for graduate students, as well as a very good basic reference for researchers … ." (Mark Sioen, Simon Stevin Bulletin, Vol. 11 (2), 2004)

"This book is a good source to learn the basic notions of tensor products … . The book can be recommended to everybody who is interested in the theory of tensor products and their applications, but first of all, to beginners in this field." (Endre Durszt, Acta Scientiarum Mathematicarum, Vol. 69, 2003)

"This book provides a self-contained introduction to the theory of tensor products on Banach spaces. Being the first book with a clear focus not only on graduate students in analysis, but also researchers who wish to become acquainted with the elementary facts of this area, it is a welcome addition to the literature. … The book contains a large number of interesting exercises." (Andreas Defant, Mathematical Reviews, Issue 2003 f)

"The aim of the present book is to give a thorough and relatively short introduction to tensor products of Banach spaces … and bringing the reader to the frontier of current research in the area. … The book is an excellent introduction to the theory of tensor products and it is highly recommended to graduate students in analysis and to researchers in other areas needing results from this field." (S. Cobzas, Studia Universitatis Babes-Bolyai, Vol. XLVII (4), 2002)

Read More Show Less

Product Details

  • ISBN-13: 9781849968720
  • Publisher: Springer London
  • Publication date: 12/10/2010
  • Series: Springer Monographs in Mathematics Series
  • Edition description: Softcover reprint of hardcover 1st ed. 2002
  • Edition number: 1
  • Pages: 225
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.51 (d)

Table of Contents

1 Tensor Products.- 2 The Projective Tensor Product.- 3 The Injective Tensor Product.- 4 The Approximation Property.- 5 The Radon-Nikodÿm Property.- 6 The Chevet-Saphar Tensor Products.- 7 Tensor Norms.- 8 Operator Ideals.- A Suggestions for Further Reading.- B Summability in Banach Spaces.- C Spaces of Measures.- References.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)