Description

Book Synopsis
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of Hölder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.

Functional Analysis: Entering Hilbert Space

Product form

£35.15

Includes FREE delivery

RRP £37.00 – you save £1.85 (5%)

Order before 4pm tomorrow for delivery by Thu 29 Jan 2026.

A Paperback / softback by Vagn Lundsgaard Hansen

Out of stock


    View other formats and editions of Functional Analysis: Entering Hilbert Space by Vagn Lundsgaard Hansen

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 22/05/2006
    ISBN13: 9789812566867, 978-9812566867
    ISBN10: 9812566864
    Also in:
    Functional analysis and transforms

    Description

    Book Synopsis
    This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of Hölder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.

    Recently viewed products

    © 2026 Book Curl

      • American Express
      • Apple Pay
      • Diners Club
      • Discover
      • Google Pay
      • Maestro
      • Mastercard
      • PayPal
      • Shop Pay
      • Union Pay
      • Visa

      Login

      Forgot your password?

      Don't have an account yet?
      Create account