skip to content
Introduction to Banach spaces and their geometry. Preview this item
ClosePreview this item
Checking...

Introduction to Banach spaces and their geometry.

Author: Bernard Beauzamy
Publisher: Amsterdam : Elsevier Science, 2014.
Series: North-Holland mathematics studies.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Introduction to Banach spaces and their geometry.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Beauzamy, Bernard.
Introduction to Banach spaces and their geometry.
Amsterdam : Elsevier Science, ©2014
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Bernard Beauzamy
ISBN: 9780080871790 0080871798
OCLC Number: 1048594287
Description: 1 online resource (321 pages).
Contents: Front Cover; Introduction to Banach Spaces and their Geometry; Copyright Page; Table of Contents; INTRODUCTION; CHAPTER 0. NOTATIONS AND PRELIMINARIES; PART 1. FUNCTIONAL ANALYSIS; CHAPTER I. BAIRE'S PROPERTY AND ITS CONSEQUENCES; CHAPTER II. INFINITE-DIMENSIONAL NORMED SPACES; 1. Hahn-Banach Theorem : Analytic form; 2. Weak topology on the dual E*; 3. The bidual E** and the weak topology on E; 4. The separation o f convex subsets : the geometric form o f Hahn-Banach Theorem; 5. Closed convex sets and bounded sets in the weak an in the strong topologies. 6. Weak and strong continuity --
Transposition 7. Duality between subspaces and quotients for weak and strong topologies; CHAPTER III. REFLEXIVE BANACH SPACES ; SEPARABLE BANACH SPACES; 1. Reflexivity; 2. Separability; 3. The utilization of convergent sequences in order to define a topology; Weak compactness; PART 2. THE STRUCTURE OF SOME COMMON BANACH SPACES; CHAPTER I. HILBERT SPACES; CHAPTER II. SCHAUDER BASES IN BANACH SPACES; 1. Schauder bases; 2 . Unconditional Schauder bases; CHAPTER III. COMPLEMENTED SUBSPACES IN BANACH SPACES. CHAPTER IV . THE BANACH SPACES ℓp(1 {600} p {600} +) AND Co 1. Subspaces of ℓp(1 {600} p {600} +) and Co ; 2. Some particular properties of ℓ1 and . ℓ<U+007b>; CHAPTER V. EXTREME POINTS OF COMPACT CONVEX SETS AND THE BANACH SPACES l(K); 1. Extreme points of compact convex sets; 2. The Banach spaces l(K); CHAPTER VI. THE BANACH SPACES Lp (<U+005d>, A, <U+006f>) (1 {600} p {600} +) P; 1. Subspaces of Lp (1 G p {600} +) P; 2. The space L1; 3. Banach valued functions; <U+006f>; PART 3. SOME METRIC PROPERTIES IN BANACH SPACES; CHAPTER I. STRICT CONVEXITY AND SMOOTHNESS; 1. Strict convexity. 2. Smoothness and Gateaux --
differentiability of the norm 3. Duality between strict convexity and smoothness; CHAPTER II. UNIFORM CONVEXITY AND UNIFORM SMOOTHNESS; 1. Uniform convexity; 2. Uniform smoothness and Uniform Fréchet Differentiability; PART 4. THE GEOMETRY OF SUPER-REFLEXIVE BANACH SPACES; CHAPTER I. FINITE REPRESENTABILITY AND SUPER-PROPERTIES OF BANACH SPACES; 1. Finite --
Representability and Ultrapowers o f Banach spaces; 2. Super-properties of Banach spaces ; super --
reflexive spaces; 3. The Tree Properties. CHAPTER II. BASIC SEQUENCES IN SUPER-REFLEXIVE BANACH SPACESCHAPTER III. UNIFORMLY NON-SQUARE AND J-CONVEX BANACH SPACES; 1. Uniformly non-square Banach Spaces; 2. J-convex Banach Spaces; CHAPTER IV. RENORMING SUPER-REFLEXIVE BANACH SPACES; 1. Banach-valued Martingales; 2. A sequence of norms on a super-reflexive space; BIBLIOGRAPHY; INDEX.
Series Title: North-Holland mathematics studies.

Abstract:

Introduction to Banach spaces and their geometry.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(2)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1048594287> # Introduction to Banach spaces and their geometry.
    a schema:CreativeWork, schema:Book, schema:MediaObject ;
    library:oclcnum "1048594287" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/ne> ;
    library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/5091069394#Place/amsterdam> ; # Amsterdam
    schema:about <http://experiment.worldcat.org/entity/work/data/5091069394#Topic/banach_spaces> ; # Banach spaces
    schema:about <http://experiment.worldcat.org/entity/work/data/5091069394#Topic/geometry_algebraic> ; # Geometry, Algebraic
    schema:about <http://dewey.info/class/515.732/> ;
    schema:bookFormat schema:EBook ;
    schema:creator <http://experiment.worldcat.org/entity/work/data/5091069394#Person/beauzamy_bernard> ; # Bernard Beauzamy
    schema:datePublished "2014" ;
    schema:description "Front Cover; Introduction to Banach Spaces and their Geometry; Copyright Page; Table of Contents; INTRODUCTION; CHAPTER 0. NOTATIONS AND PRELIMINARIES; PART 1. FUNCTIONAL ANALYSIS; CHAPTER I. BAIRE'S PROPERTY AND ITS CONSEQUENCES; CHAPTER II. INFINITE-DIMENSIONAL NORMED SPACES; 1. Hahn-Banach Theorem : Analytic form; 2. Weak topology on the dual E*; 3. The bidual E** and the weak topology on E; 4. The separation o f convex subsets : the geometric form o f Hahn-Banach Theorem; 5. Closed convex sets and bounded sets in the weak an in the strong topologies."@en ;
    schema:description "Introduction to Banach spaces and their geometry."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/5091069394> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/5091069394#Series/north_holland_mathematics_studies> ; # North-Holland mathematics studies.
    schema:isSimilarTo <http://worldcat.org/entity/work/data/5091069394#CreativeWork/introduction_to_banach_spaces_and_their_geometry> ;
    schema:name "Introduction to Banach spaces and their geometry."@en ;
    schema:productID "1048594287" ;
    schema:publication <http://www.worldcat.org/title/-/oclc/1048594287#PublicationEvent/amsterdam_elsevier_science_2014> ;
    schema:publisher <http://experiment.worldcat.org/entity/work/data/5091069394#Agent/elsevier_science> ; # Elsevier Science
    schema:url <http://qut.eblib.com.au/patron/FullRecord.aspx?p=404633> ;
    schema:workExample <http://worldcat.org/isbn/9780080871790> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1048594287> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/5091069394#Agent/elsevier_science> # Elsevier Science
    a bgn:Agent ;
    schema:name "Elsevier Science" ;
    .

<http://experiment.worldcat.org/entity/work/data/5091069394#Person/beauzamy_bernard> # Bernard Beauzamy
    a schema:Person ;
    schema:familyName "Beauzamy" ;
    schema:givenName "Bernard" ;
    schema:name "Bernard Beauzamy" ;
    .

<http://experiment.worldcat.org/entity/work/data/5091069394#Series/north_holland_mathematics_studies> # North-Holland mathematics studies.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1048594287> ; # Introduction to Banach spaces and their geometry.
    schema:name "North-Holland mathematics studies." ;
    schema:name "North-Holland Mathematics Studies ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/5091069394#Topic/geometry_algebraic> # Geometry, Algebraic
    a schema:Intangible ;
    schema:name "Geometry, Algebraic"@en ;
    .

<http://worldcat.org/entity/work/data/5091069394#CreativeWork/introduction_to_banach_spaces_and_their_geometry>
    a schema:CreativeWork ;
    rdfs:label "Introduction to Banach spaces and their geometry." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1048594287> ; # Introduction to Banach spaces and their geometry.
    .

<http://worldcat.org/isbn/9780080871790>
    a schema:ProductModel ;
    schema:isbn "0080871798" ;
    schema:isbn "9780080871790" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.