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  • 1
    Online Resource
    Online Resource
    Bornologies and functional analysis : introductory course on the theory of duality topology-bornology and its use in functional analysis (1977)
    Amsterdam ; New York : North-Holland Pub. Co | New York : sole distributors for the U.S.A. and Canada, Elsevier-North Holland
    Details
    UID:
    b3kat_BV036962399
    Format: 1 Online-Ressource (xii, 144 p.) , ill , 24 cm
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0720407125 , 9780720407129
    Series Statement: North-Holland mathematics studies 26
    Note: Includes index
    Additional Edition: Reproduktion von Bornologies and functional analysis 1977
    Language: English
    Keywords: Bornologie ; Topologie ; Funktionalanalysis ; Bornologischer Raum ; Einführung
    URL: Volltext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    HWR Berlin
    EUV Frankfurt
    TH Brandenburg
    HTW Berlin
    TH Wildau
    BTU Cottbus
    BHT
  • 2
    Online Resource
    Online Resource
    Bornologies and functional analysis : introductory course on the theory of duality topology-bornology and its use in functional analysis (1977)
    Amsterdam : North-Holland Pub. Co | New York : sole distributors for the U.S.A. and Canada, Elsevier-North Holland
    Details
    UID:
    gbv_1684909295
    Format: Online-Ressource , xii, 144 p , ill , 24 cm
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0720407125 , 9780720407129
    Series Statement: North-Holland mathematics studies 26
    Note: Includes index
    Additional Edition: Erscheint auch als Druck-Ausgabe Hogbe-Nlend, Henri, 1939 - Bornologies and functional analysis Amsterdam [u.a.] : North-Holland Publ. Co., 1977 ISBN 0720407125
    Language: English
    Subjects: Computer Science , Mathematics
    RVK:
    SI 867
    RVK:
    ST 600
    Keywords: Funktionalanalysis ; Bornologie ; Bornologie ; Topologie ; Funktionalanalysis ; Bornologie ; Funktionalanalysis
    URL: Volltext  (Deutschlandweit zugänglich)
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Stabi Berlin
    UB Potsdam
  • 3
    Book
    Book
    Bornologies and functional analysis : introductory course on the theory of duality topology-bornology and its use in functional analysis (1977)
    Amsterdam [u.a.] : North-Holland Publ. Co.
    Details
    UID:
    gbv_010887806
    Format: XII, 144 S. , graph. Darst.
    ISBN: 0720407125
    Series Statement: North-Holland mathematics studies 26
    Note: Transl. from the French , Literaturverz. S. 143 - 144
    Additional Edition: Erscheint auch als Online-Ausgabe Hogbe-Nlend, H. Bornologies and functional analysis Amsterdam : North-Holland Pub. Co, 1977 ISBN 0720407125
    Additional Edition: ISBN 9780720407129
    Language: English
    Subjects: Computer Science , Mathematics
    RVK:
    SI 867
    RVK:
    ST 600
    RVK:
    SK 600
    Keywords: Funktionalanalysis ; Bornologie ; Topologie
    URL: Inhaltsverzeichnis
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    Stabi Berlin get availability status
    UB Potsdam get availability status
  • 4
    Online Resource
    Online Resource
    Bornologies and functional analysis : introductory course on the theory of duality topology-bornology and its use in functional analysis (1977)
    Amsterdam ; : North-Holland Pub. Co. ;
    Details
    UID:
    almahu_9947368111202882
    Format: 1 online resource (157 p.)
    ISBN: 1-281-77759-5 , 9786611777593 , 0-08-087137-2
    Series Statement: North-Holland mathematics studies ; 26
    Content: Bornologies and functional analysis
    Note: Includes index. , Front Cover; Bornologies and Functional Analysis; Copyright Page; CONTENTS; Introduction; CHAPTER 0. PRELIMINARY NOTIONS OF ALGEBRA AND TOPOLOGY; 0.A Vector Spaces; 0.B Preliminaries of General Topology and Normed Spaces; 0.C Topological Vector Spaces; CHAPTER I. BORNOLOGY; 1:1 Definitions; 1:2 Bounded Linear Maps; 1:3 Fundamental Examples of Bornologies; 1:4 Bornological Convergence; CHAPTER II. FUNDAMENTAL BORNOLOGICAL CONSTRUCTIONS; 2:1 Initial Bornologies; 2:2 Product Bornologies; 2:3 Induced Bornologies: Bornological Subspaces; 2:4 Bornologies Generated by a Family of Subsets , 2:5 Bornological Projective Limits2:6 Final Bornologies; 2:7 Quotient Bornologies; 2:8 Bornological Inductive Limits; 2:9 Bornological Direct Sums: Finite-Dimensional Bornologies; 2:10 Stability of the Separation Property; 2:11 Bornologically Closed Sets: Separation of Bornological Quotients; 2:12 The Associated Separated Bornological Vector Space; 2:13 The Structure of a Convex Bornological Space: Comparison with the Structure of a Locally Convex Space; CHAPTER III. COMPLETE BORNOLOGIES; 3:1 Completant Bounded Disks; 3:2 Complete Convex Bornological Spaces , 3:3 Separated Bornological Vector Spaces of Finite Dimension3:4 The Complete Bornology Associated with a Separated Vector Bornology; 3:5 Bornologically Complete Topological Vector Spaces; CHAPTER IV. ""TOPOLOGY -BORNOLOGY"": INTERNAL DUALITY; 4:1 Compatible Topologies and Bornologies]; 4:2 Characterisation of Bornological Topologies; 4:3 Completely Bornological Spaces; 4:4 The Closed Graph Theorem; CHAPTER V. ""TOPOLOGY -BORNOLOGY"": EXTERNAL DUALITY I: THE FUNDAMENTAL PRINCIPLES OF DUALITY; 5:0 Preliminaries: The Hahn-Banach Theorem and its Consequences , 5:1 The External Duality Between Topology and Bornology5:2 Duality Between Equicontinuous and Equibounded Sets in a Dual Space; 5:3 Completeness of the Equicontinuous Bornology: Completely Bornological Topology on A Dual Space; 5:4 Completeness of the Natural Topology on A Bornological Dual; 5:5 External Duality Between Bounded and Continuous Linear Maps : Dual Maps; CHAPTER VI. ""TOPOLOGY - BORNOLOGY"": EXTERNAL DUALITY II: WEAKLY COMPACT BORNOLOGIES AND REFLEXIVITY; 6:1 Weak Compactness of Equicontinuous Sets; 6:2 The Bornology of Weakly Compact Disks and the Mackey-Arens Theorem , 6:3 Weakly Compact Bornologies: Reflexivity6:4 Completely Reflexive Locally Convex Spaces; CHAPTER VII. COMPACT BORNOLOGIES; 7:1 Hypo-Montel Spaces; 7:2 Schwartz spaces; 7:3 Silva Spaces; CHAPTER VIII. DISTRIBUTIONS AND DIFFERENTIAL OPERATORS; 8:0 Multi-Dimensional Notation; 8:1 The Bornological Spaces E(o) and D(o); 8:2 Distributions as Bounded Linear Functionals; 8:3 Differential Operators and Partial Differential Equations; 8:4 The Silva Space E'(o); 8:5 The Spaces E'(K) and the Bornological Structure of E'(o); 8:6 The General Existence Theorem for Infinitely Differentiable Solutions , 8:7 Proof of the Existence Theorem: Sufficiency , English
    Additional Edition: ISBN 0-7204-0712-5
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
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