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  • Functional analysis  (8)
  • New York : Academic Press  (5)
  • Amsterdam : Elsevier  (3)
  • New York, N.Y., U.S.A : Distributors for the U.S. and Canada, Elsevier Science Pub. Co
Document type
Language
  • 1
    Online Resource
    Online Resource
    New York : Academic Press
    Keywords: Functional analysis ; Funktionalanalysis ; Einführung ; Funktionalanalysis ; Funktionalanalysis ; Funktionalanalysis
    Type of Medium: Online Resource
    Pages: Online-Ressource , ix, 166 p , 24 cm
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0122132505 , 9780122132506
    Series Statement: Pure and applied mathematics 81
    DDC: 515/.7
    RVK:
    Language: English
    Note: Includes index
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  • 2
    Online Resource
    Online Resource
    New York : Academic Press
    Keywords: Functional analysis ; Mathematical optimization ; Nonlinear programming ; Nichtlineare Analysis ; Nichtlineare Optimierung ; Optimierung ; Algorithmus ; Nichtlineare Funktionalanalysis ; Algorithmus ; Normierter Raum ; Algorithmus ; Nichtlineare Analysis ; Optimierung
    Type of Medium: Online Resource
    Pages: Online-Ressource
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0120855607 , 9780120855605
    Series Statement: Mathematics in science and engineering vol. 63
    DDC: 517/.5
    RVK:
    Language: English
    Note: bibl p. 229-230
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  • 3
    Online Resource
    Online Resource
    Amsterdam : Elsevier
    Keywords: Functional analysis ; Measure theory ; Set theory ; Nichtmessbare Menge ; Nichtmessbare Funktion ; Nichtmessbare Menge ; Nichtmessbare Funktion ; Maßtheorie
    Type of Medium: Online Resource
    Pages: Online-Ressource , xi, 337 p , 25 cm
    Edition: 1st ed
    ISBN: 0444516263 , 9780444516268
    Series Statement: North-Holland mathematics studies 195
    RVK:
    Language: English
    Note: Includes bibliographical references (p. 317-333) and index
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  • 4
    Keywords: Complexes ; Convex surfaces ; Convexity spaces ; Functional analysis ; Holomorphic functions ; Funktionentheorie ; Konvexe Analysis
    Type of Medium: Online Resource
    Pages: Online-Ressource , xvi, 278 p , ill , 25 cm
    Edition: 1st ed
    ISBN: 0444500561 , 9780444500564
    Series Statement: North-Holland mathematics studies v. 193
    RVK:
    RVK:
    Language: English
    Note: Includes bibliographical references (p. 262-277) and index
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  • 5
    Keywords: Functional analysis ; Mathematical analysis ; Nonlinear theories ; Nichtlineare Funktionalanalysis ; Nichtlinearer Operator ; Nichtlineare Analysis ; Nichtlineare Funktionalanalysis ; Nichtlineares Phänomen ; Funktionalanalysis ; Funktionalanalysis
    Type of Medium: Online Resource
    Pages: Online-Ressource , xix, 417 p , ill , 24 cm
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0120903504 , 9780120903504
    Series Statement: Pure and applied mathematics v. 74
    DDC: 510/.8 s
    RVK:
    Language: English
    Note: Includes index
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  • 6
    Online Resource
    Online Resource
    Amsterdam : Elsevier
    Keywords: Functional analysis ; Operator theory ; Funktionalanalysis ; Operatortheorie ; Funktionalanalysis ; Operatortheorie ; Linearer Operator ; Finite-Elemente-Methode
    Type of Medium: Online Resource
    Pages: Online-Ressource , xiv, 426 p , ill , 24 cm
    Edition: 2nd ed Vivian Hutson, John S. Pym, Michael J. Cloud
    ISBN: 0444517901 , 9780444517906
    Series Statement: Mathematics in science and engineering v. 200
    RVK:
    RVK:
    Language: English
    Note: Includes bibliographical references (p. 409-416) and index , Preface. -- Acknowledgements. -- Contents. -- 1. Banach Spaces -- 1.1 Introduction -- 1.2 Vector Spaces -- 1.3 Normed Vector Spaces -- 1.4 Banach Spaces -- 1.5 Hilbert Space -- Problems -- 2. Lebesgue Integration and the Lp Spaces -- 2.1 Introduction -- 2.2 The Measure of a Set -- 2.3 Measurable Functions -- 2.4 Integration -- 2.5 The Lp Spaces -- 2.6 Applications -- Problems -- 3. Foundations of Linear Operator Theory -- 3.1 Introduction -- 3.2 The Basic Terminology of Operator Theory -- 3.3 Some Algebraic Properties of Linear Operators -- 3.4 Continuity and Boundedness -- 3.5 Some Fundamental Properties of Bounded Operators -- 3.6 First Results on the Solution of the Equation Lf=g -- 3.7 Introduction to Spectral Theory -- 3.8 Closed Operators and Differential Equations -- Problems -- 4. Introduction to Nonlinear Operators -- 4.1 Introduction -- 4.2 Preliminaries -- 4.3 The Contraction Mapping Principle -- 4.4 The Frechet Derivative -- 4.5 Newton's Method for Nonlinear Operators -- Problems -- 5. Compact Sets in Banach Spaces -- 5.1 Introduction -- 5.2 Definitions -- 5.3 Some Consequences of Compactness -- 5.4 Some Important Compact Sets of Functions -- Problems -- 6. The Adjoint Operator -- 6.1 Introduction -- 6.2 The Dual of a Banach Space -- 6.3 Weak Convergence -- 6.4 Hilbert Space -- 6.5 The Adjoint of a Bounded Linear Operator -- 6.6 Bounded Self-adjoint Operators -- Spectral Theory -- 6.7 The Adjoint of an Unbounded Linear Operator in Hilbert Space -- Problems -- 7. Linear Compact Operators -- 7.1 Introduction -- 7.2 Examples of Compact Operators -- 7.3 The Fredholm Alternative -- 7.4 The Spectrum -- 7.5 Compact Self-adjoint Operators -- 7.6 The Numerical Solution of Linear Integral Equations -- Problems -- 8. Nonlinear Compact Operators and Monotonicity -- 8.1 Introduction -- 8.2 The Schauder Fixed Point Theorem -- 8.3 Positive and Monotone Operators in Partially Ordered Banach Spaces -- Problems -- 9. The Spectral Theorem -- 9.1 Introduction -- 9.2 Preliminaries -- 9.3 Background to the Spectral Theorem -- 9.4 The Spectral Theorem for Bounded Self-adjoint Operators -- 9.5 The Spectrum and the Resolvent -- 9.6 Unbounded Self-adjoint Operators -- 9.7 The Solution of an Evolution Equation -- Problems -- 10. Generalized Eigenfunction Expansions Associated with Ordinary Differential Equations -- 10.1 Introduction -- 10.2 Extensions of Symmetric Operators -- 10.3 Formal Ordinary Differential Operators: Preliminaries -- 10.4 Symmetric Operators Associated with Formal Ordinary Differential Operators -- 10.5 The Construction of Self-adjoint Extensions -- 10.6 Generalized Eigenfunction Expansions -- Problems -- 11. Linear Elliptic Partial Differential Equations -- 11.1 Introduction -- 11.2 Notation -- 11.3 Weak Derivatives and Sobolev Spaces -- 11.4 The Generalized Dirichlet Problem -- 11.5 Fredholm Alternative for Generalized Dirichlet Problem -- 11.6 Smoothness of Weak Solutions -- 11.7 Further Developments -- Problems -- 12. The Finite Element Method -- 12.1 Introduction -- 12.2 The Ritz Method -- 12.3 The Rate of Convergence of the Finite Element Method -- Problems -- 13. Introduction to Degree Theory -- 13.1 Introduction -- 13.2 The Degree in Finite Dimensions -- 13.3 The Leray-Schauder Degree -- 13.4 A Problem in Radiative Transfer -- Problems -- 14. Bifurcation Theory -- 14.1 Introduction -- 14.2 Local Bifurcation Theory -- 14.3 Global Eigenfunction Theory -- Problems -- References -- List of Symbols -- Index.
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  • 7
    Online Resource
    Online Resource
    New York : Academic Press
    Keywords: Differential equations, Linear ; Functional analysis ; Funktionenraum ; Lineare gewöhnliche Differentialgleichung
    Type of Medium: Online Resource
    Pages: Online-Ressource , xx, 404 p , 24 cm
    Edition: Online-Ausg.] Elsevier e-book collection on ScienceDirect
    ISBN: 0123745683 , 9780123745682
    Series Statement: Pure and applied mathematics 21
    DDC: 517.382
    RVK:
    Language: English
    Note: Bibliography: p. 393-398
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  • 8
    Online Resource
    Online Resource
    New York : Academic Press
    Keywords: Mathematical analysis Foundations ; Functional analysis ; Mathematical analysis Foundations ; Functional analysis ; Mathematical analysis Foundations ; Functional analysis ; Mathematical analysis ; Foundations ; Electronic books ; Electronic books
    Description / Table of Contents: Elements of the theory of sets -- Real numbers -- Metric spaces -- Additional properties of the Real LineXS -- Normed spaces -- Hilbert spaces -- Spaces of continuous functions -- Differential calculus -- Analytic functions -- Existence theorems -- Elementary spectral theory
    Type of Medium: Online Resource
    Pages: Online Ressource (xviii, 387 pages)
    Edition: Online-Ausg.
    ISBN: 0122155505 , 9780122155505
    Series Statement: Pure and applied mathematics v. 10, pt. 1
    DDC: 515.1
    Language: English
    Note: Includes bibliographical references and index. - Print version record , Elements of the theory of sets -- Real numbers -- Metric spaces -- Additional properties of the Real LineXS -- Normed spaces -- Hilbert spaces -- Spaces of continuous functions -- Differential calculus -- Analytic functions -- Existence theorems -- Elementary spectral theory.
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