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Produktbild: Functional Analysis

Functional Analysis

Aus der Reihe Wiley Series in Pure and Applied Mathematics

Fr. 179.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. * Assumes prior knowledge of Naive set theory,...

Beschreibung

Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more.
* Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables.
* Includes an appendix on the Riesz representation theorem.

Rezension

"...an excellent source of facts for anyone working in functional analysis or operator theory." (Journal of Operator Theory, Vol.53, No.1, 2005)
 
"For years Lax has been counted among the world's very top people in PDEs, so no serious student can afford to ignore his view of the foundations leading up to that subject." (Choice, Vol. 40, No. 4, December 2002)
 
"...attractive...well suited for graduate courses...and useful for research mathematicians." (Mathematical Reviews, 2003a)
 
"...The book is highly recommended to all students of analysis". (Zentralblatt MATH, Vol.1009, No.9, 2003)
 
"A lot of good material, doled out in short chapters." (American Mathematical Monthly, August/September 2003)

Produktdetails

Einband

Gebundene Ausgabe
Erscheinungsdatum

04.04.2002
Verlag John Wiley & Sons Inc
Seitenzahl

608

Produktdetails

Einband

Gebundene Ausgabe
Erscheinungsdatum

04.04.2002
Verlag John Wiley & Sons Inc
Seitenzahl

608
Maße (L/B/H)

24/16.1/3.7 cm
Gewicht

1065 g
Auflage

1. Auflage
Sprache

Englisch
ISBN

978-0-471-55604-6
Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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Die Leseprobe wird geladen.
  • Produktbild: Functional Analysis
  • Foreword.
     
    Linear Spaces.
     
    Linear Maps.
     
    The Hahn-Banach Theorem.
     
    Applications of the Hahn-Banach Theorem.
     
    Normed Linear Spaces.
     
    Hilbert Space.
     
    Applications of Hilbert Space Results.
     
    Duals of Normed Linear Space.
     
    Applications of Duality.
     
    Weak Convergence.
     
    Applications of Weak Convergence.
     
    The Weak and Weak* Topologies.
     
    Locally Convex Topologies and the Krein-Milman Theorem.
     
    Examples of Convex Sets and their Extreme Points.
     
    Bounded Linear Maps.
     
    Examples of Bounded Linear Maps.
     
    Banach Algebras and their Elementary Spectral Theory.
     
    Gelfand's Theory of Commutative Banach Algebras.
     
    Applications of Gelfand's Theory of Commutative Banach Algebras.
     
    Examples of Operators and their Spectra.
     
    Compact Maps.
     
    Examples of Compact Operators.
     
    Positive Compact Operators.
     
    Fredholm's Theory of Integral Equations.
     
    Invariant Subspaces.
     
    Harmonic Analysis on a Halfline.
     
    Index Theory.
     
    Compact Symmetric Operators in Hilbert Space.
     
    Examples of Compact Symmetric Operators.
     
    Trace Class and Trace Formula.
     
    Spectral Theory of Symmetric, Normal and Unitary Operators.
     
    Spectral Theory of Self-Adjoint Operators.
     
    Examples of Self-Adjoint Operators.
     
    Semigroups of Operators.
     
    Groups of Unitary Operators.
     
    Examples of Strongly Continuous Semigroups.
     
    Scattering Theory.
     
    A Theorem of Beurling.
     
    Appendix A: The Riesz-Kakutani Representation Theorem.
     
    Appendix B: Theory of Distributions.
     
    Appendix C: Zorn's Lemma.
     
    Author Index.
     
    Subject Index.