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  • 1
    Online Resource
    Online Resource
    Amsterdam ; New York : North-Holland | New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co
    UID:
    b3kat_BV036962606
    Format: 1 Online-Ressource (xi, 308 p.) , 24 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444864164 , 9780444864161
    Series Statement: North-Holland mathematics studies 68
    Note: Includes index
    Additional Edition: Reproduktion von Introduction to Banach spaces and their geometry 1982
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Banach-Raum ; Geometrie ; Lokalkonvexer Raum ; Differentialrechnung ; Holomorphe Funktion
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 2
    Online Resource
    Online Resource
    Amsterdam ; New York : North-Holland | New York, N.Y., U.S.A : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co
    UID:
    b3kat_BV036962835
    Format: 1 Online-Ressource (xiv, 358 p.) , 23 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 044470521X , 9780444705211
    Series Statement: North-Holland mathematical library 42
    Note: Bibliography: p. [351]-358
    Additional Edition: Reproduktion von Introduction to operator theory and invariant subspaces 1988
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Operatortheorie ; Invarianter Unterraum ; Operatortheorie ; Invarianter Unterraum
    URL: Volltext  (Deutschlandweit zugänglich)
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  • 3
    Online Resource
    Online Resource
    Berlin [u.a.] : Springer
    UID:
    b3kat_BV041962717
    Format: 1 Online-Ressource
    ISBN: 9783540089230
    Series Statement: Lecture notes in mathematics 666
    Additional Edition: Erscheint auch als Druckausgabe ISBN 978-3-540-35754-4
    Language: English
    Keywords: Interpolationsraum ; Topologie ; Geometrie ; Interpolationsraum ; Geometrie ; Interpolationsraum ; Topologie
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  • 4
    Book
    Book
    Amsterdam u.a. :North-Holland,
    UID:
    almahu_BV000884694
    Format: XIV, 358 S.
    ISBN: 0-444-70521-X
    Series Statement: North-Holland mathematical library 42
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Operatortheorie ; Invarianter Unterraum ; Operatortheorie ; Invarianter Unterraum
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  • 5
    Online Resource
    Online Resource
    Amsterdam ; : North-Holland ;
    UID:
    almahu_9949697337002882
    Format: 1 online resource (321 p.)
    ISBN: 1-281-79750-2 , 9786611797508 , 0-08-087179-8
    Series Statement: North-Holland mathematics studies ; 68
    Content: Introduction to Banach spaces and their geometry
    Note: Description based upon print version of record. , 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 = p = + 8 ) AND Co 1. Subspaces of lp( 1 = p = + 8) and Co; 2. Some particular properties of l1 and . l8; 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 (O, A , μ) (1 = p = + 8) P; 1. Subspaces of Lp (1 G p = + 8 ) P; 2. The space L1; 3. Banach valued functions; μ; 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 , English
    Additional Edition: ISBN 0-444-86416-4
    Language: English
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  • 6
    Online Resource
    Online Resource
    Amsterdam ; : North-Holland ;
    UID:
    almahu_9949697534202882
    Format: 1 online resource (373 p.)
    ISBN: 1-282-03501-0 , 9786612035012 , 0-08-096089-8
    Series Statement: North-Holland mathematical library ; v.42
    Content: This monograph only requires of the reader a basic knowledge of classical analysis: measure theory, analytic functions, Hilbert spaces, functional analysis. The book is self-contained, except for a few technical tools, for which precise references are given.Part I starts with finite-dimensional spaces and general spectral theory. But very soon (Chapter III), new material is presented, leading to new directions for research. Open questions are mentioned here. Part II concerns compactness and its applications, not only spectral theory for compact operators (Invariant Subspaces and Lomono
    Note: Description based upon print version of record. , pt. 1. General theory -- pt. 2. Compactness and its applications -- pt. 3. Banach algebras techniques -- pt. 4. Analytic functions -- pt. 5. Dilations and extensions -- pt. 6. Invariant subspaces. , English
    Additional Edition: ISBN 0-444-70521-X
    Language: English
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  • 7
    Online Resource
    Online Resource
    Berlin, Heidelberg :Springer Berlin Heidelberg :
    UID:
    almahu_9947921459202882
    Format: X, 104 p. , online resource.
    ISBN: 9783540357544
    Series Statement: Lecture Notes in Mathematics, 666
    Note: Definition Des Espaces d'Interpolation -- Proprietes Topologiques Des Espaces d'Interpolation -- Methodes Geometriques Pour l'Etude Des Espaces d'Interpolation -- Dualite Et Reiteration Du Procede d'Interpolation -- Super — Proprietes Et Proprietes Metriques Des Espaces d'Interpolation -- Meilleures Representations Et Proprietes Metriques Non Uniformes -- Quelques "Defauts" Du Procede d'Interpolation.
    In: Springer eBooks
    Additional Edition: Printed edition: ISBN 9783540089230
    Language: French
    Subjects: Mathematics
    RVK:
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Cover
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  • 8
    Book
    Book
    Amsterdam [u.a.] : North-Holland
    UID:
    gbv_016562542
    Format: XV, 338 S
    Edition: 2. rev. ed.
    ISBN: 0444878793
    Series Statement: North-Holland mathematics studies 68
    Note: Literaturverz. S. 329 - 334
    Language: English
    Subjects: Mathematics
    RVK:
    Keywords: Banach-Raum
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  • 9
    UID:
    almafu_BV002300770
    Format: 210 S.
    ISBN: 2-7056-5965-X
    Series Statement: Travaux en cours [4]
    Language: French
    Subjects: Mathematics
    RVK:
    Keywords: Banach-Raum
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  • 10
    Book
    Book
    Berlin [u.a.] :Springer,
    UID:
    almahu_BV002253060
    Format: X, 104 S.
    ISBN: 3-540-08923-3 , 0-387-08923-3
    Series Statement: Lecture notes in mathematics 666
    Language: French
    Subjects: Mathematics
    RVK:
    Keywords: Interpolationsraum ; Topologie ; Geometrie ; Interpolationsraum ; Geometrie ; Interpolationsraum ; Topologie
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