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Functional Analysis by Douglas N. Arnold

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Functional Analysis eBooks . We hope mathematician or person who’s interested in mathematics like these books.

Functional Analysis written by Douglas N. Arnold . This is an other book of mathematics cover the following topics.

  • 1. Vector spaces and their topology
    Subspaces and quotient spaces
    Basic properties of Hilbert spaces

  • 2. Linear Operators and Functionals
    The Hahn–Banach Theorem

  • 3. Fundamental Theorems
    The Open Mapping Theorem
    The Uniform Boundedness Principle
    The Closed Range Theorem

  • 4. Weak Topologies
    The weak topology
    The weak* topology

  • 5. Compact Operators and their Spectra
    Hilbert–Schmidt operators
    Compact operators
    Spectral Theorem for compact self-adjoint operators
    The spectrum of a general compact operator

  • 6. Introduction to General Spectral Theory
    The spectrum and resolvent in a Banach algebra
    Spectral Theorem for bounded self-adjoint operators

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