Visit our Christmas Gift Finder
The Isometric Theory of Classical Banach Spaces - Grundlehren der mathematischen Wissenschaften 208 (Paperback)
  • The Isometric Theory of Classical Banach Spaces - Grundlehren der mathematischen Wissenschaften 208 (Paperback)
zoom

The Isometric Theory of Classical Banach Spaces - Grundlehren der mathematischen Wissenschaften 208 (Paperback)

(author)
£74.99
Paperback 272 Pages / Published: 07/12/2011
  • We can order this

Usually dispatched within 3 weeks

  • This item has been added to your basket
The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1 < p < 00, then it is well known that X=L (j1,IR) where 1/p+1/q=1 and if p=oo, then X=L (v,lR) for q j some measure v. Thus, the only case where a space is obtained which is not truly classical is when p = 1. This class of spaces is known as L - 1 predual spaces since their duals are L type. It includes some well known j subclasses such as spaces of the type C(T, IR) for T a compact Hausdorff space and abstract M spaces. The structure theorems concern necessary and sufficient conditions that a general Banach space is linearly isometric to a classical Banach space. They are framed in terms of conditions on the norm of the space X, conditions on the dual space X*, and on (finite dimensional) subspaces of X. Since most of these spaces are Banach lattices and Banach algebras, characterizations among theses classes are also given.

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN: 9783642657641
Number of pages: 272
Weight: 440 g
Dimensions: 235 x 155 x 15 mm
Edition: Softcover reprint of the original 1st ed. 197

You may also be interested in...

How to Think About Analysis
Added to basket
A Brief on Tensor Analysis
Added to basket
The Formula
Added to basket
£9.99
Paperback
Maths for Science
Added to basket
£35.99
Paperback
Thomas' Calculus in SI Units
Added to basket
Calculus
Added to basket
£41.99
Hardback
Schaum's Outline of Calculus
Added to basket
Maths for Chemistry
Added to basket
£29.99
Paperback
Measurements and their Uncertainties
Added to basket
Real Analysis
Added to basket
£24.95
Paperback
Guide to Analysis
Added to basket
£48.99
Paperback
The Calculus Lifesaver
Added to basket

Reviews

Please sign in to write a review

Your review has been submitted successfully.