4 edition of **Classical Banach spaces** found in the catalog.

- 55 Want to read
- 12 Currently reading

Published
**1977**
by Springer-Verlag in Berlin
.

Written in English

- Banach spaces,
- Sequence spaces,
- Function spaces

**Edition Notes**

Includes bibliography.

Series | Ergebnisse der Mathematik und ihrer Grenzgebiete, 92, 97, Ergebnisse der Mathematik und ihrer Grenzgebiete, n.F., Bd. 97, Ergebnisse der Mathematik und ihrer Grenzgebiete, n.F., Bd. 92 |

Contributions | Tzafriri, Lior, 1936- |

The Physical Object | |
---|---|

Pagination | 2 v. ; |

ID Numbers | |

Open Library | OL22337290M |

ISBN 10 | 0387080724 |

Buy Classical Banach Spaces I (Lecture Notes in Mathematics) by Lindenstrauss, J., Tzafriri, L. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : J. Lindenstrauss. Classical Banach Spaces by Lindenstrauss, J. and Lindenstrauss, Joram and Tzafriri, Lior available in Trade Paperback on , also read synopsis and reviews.

An Introduction to Banach Space Theory Robert E. Megginson Graduate Texts in Mathematics Springer-Verlag New York, Inc. October, Acknowledgment: I wish to express my gratitude to Allen Bryant, who worked through the initial part of Chapter 2 while a graduate student at Eastern Illinois University and caught several errors that were corrected before this book . This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional Cited by: 4.

The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. Buy Classical Banach Spaces I: Sequence Spaces (Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge) Softcover reprint of the original 1st ed. by Lindenstrauss, Joram, Haus, Erhard (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : Joram Lindenstrauss.

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Classical Banach Spaces II book. Read reviews from world’s largest community for s: 0. Classical Banach Spaces (Classics in Mathematics) Paperback – Febru by J. Lindenstrauss (Author), L. Tzafriri (Author) out of 5 stars 1 rating. See all 6 formats and editions Hide other formats and editions.

Price New from Cited by: Additional Physical Format: Online version: Lindenstrauss, Joram, Classical Banach spaces. Berlin, New York, Springer-Verlag, (OCoLC) the book is written in the best tradition of the beautiful series in which it appears.

The material it presents is hard to find in other books. For people working in the structure theory of Banach spaces it will be most valuable as a source of references and inspiration. For those who wish to learn the subject the book deserves a warm welcome too."5/5(1).

Get this from a library. Classical Banach spaces I: sequence spaces. [Joram Lindenstrauss; Lior Tzafriri] -- The appearance of Banach's book [8] in signified the beginning of a syste matic Classical Banach spaces book of normed linear spaces, which have been the subject of continuous research ever since.

In the Classical Banach spaces book, and. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces.

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. 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. This book is devoted to the history of Banach spaces and their linear operators.

Lattices, measures, and integrals will be treated only in so far as these concepts are needed for our purpose. The same holds for the theory of Banach algebras. Even under this restriction, more room has been spent than I like. This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory.

In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) by: Classical Banach Spaces I and II by Joram Lindenstrauss,available at Book Depository with free delivery worldwide.

This is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces.

While these topics can be traced back to Banach himself, our primary interest is in the postwar Reviews: 1. The fifth chapter contains the factorization theory of Hp functions, a discussion of some partial extensions of the factorization, and a brief description of the classical approach to the theorems of the first five chapters.

The remainder of the book addresses the structure of various Banach spaces and Banach algebras of analytic functions in. Classical Banach Spaces I and II. From the reviews: “ the book is written in the best tradition of the beautiful series in which it appears.

The material it presents is hard to find in other books. For people working in the structure theory of Banach spaces it will be most valuable as a source of references and inspiration.5/5(1). Banach spaces Prove that a normed space is a Banach space (i.e., complete) if and only if every absolutely convergent series is convergent.

Deﬁnition An injection f ∶X Y (i.e., one-to-one) between two normed spaces X and Y is called an norm-preserving if. In mathematics, especially in functional analysis, the Tsirelson space is the first example of a Banach space in which neither an ℓ p space nor a c 0 space can be embedded.

The Tsirelson space is reflexive. It was introduced by B. Tsirelson in The same year, Figiel and Johnson published a related article (Figiel & Johnson ()) where they used the notation T.

Classical Banach Spaces II: Function Spaces by J. Lindenstrauss, L. Tzafriri. Hardcover $ Ship This Item — Temporarily Out of Stock Online.

Buy Online, Pick up in Store is currently unavailable, but this item may be available for in-store purchase. Publish your book with B&: Classical Banach Spaces I: Sequence Spaces | Joram Lindenstrauss, Lior Tzafriri (auth.) | download | B–OK.

Download books for free. Find books. Topics in Banach space theory. Albiac, N. Kalton. Though this is still a textbook, it contains a lot. Mostly for future Banach space specialists. The isometric theory of classical Banach spaces. Lacey. If you are interesed geometric effects concerned with exact value of the norm.

Banach space theory. The basis for linear and non-linear. Hahn-Banach Extension Theorems. Semicontinuous Functions.

The L P Spaces. The ℒ P Spaces for p ∊ (0, ∞) The Linear Spaces ℒ P for p ∊ [1, ∞) The L P Spaces for p ∊ [1, ∞) The Space L ∞ The L P Spaces for p ∊ (0, 1) Extensions of Hölder's Inequality.

Relation among the L P Spaces. The Modified L P Norms for L P Spaces with. Introduction: Some important classical Banach spaces; in particular, C(K) spaces, L 1 spaces, the disk algebra; as well as some other spaces (such as quotients of .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 .Aside from this, parts of the book may also o er an interesting angle to the classical analysis of scalar-valued functions, which is certainly covered as a special case, and seldomly required as a prerequisite or used as a building block for the Banach space-valued theory.

For a classical harmonic analyst, the.