Description

Book Synopsis
Introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques.

Table of Contents
  • From Volterra to Banach: Starting out
  • Springing ahead
  • Springing higher
  • Operators as points
  • Travels with Titchmarsh: The Titchmarsh convolution theorem
  • Titchmarsh finale
  • Invariance through duality: Invariant subspaces
  • Digging into duality
  • Rendezvous with Riez
  • V-invariance: Finale
  • Uniform convergence
  • $\mathbb{C}$omplex primer
  • Uniform approximation by polynomials
  • Riemann-Stieltjes primer
  • Bibliography
  • Index

    Volterra Adventures

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      £46.80

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      RRP £52.00 – you save £5.20 (10%)

      Order before 4pm tomorrow for delivery by Fri 7 Aug 2026.

      A Paperback by Joel H. Shapiro

      7 in stock

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 7/30/2018 12:00:00 AM
        ISBN13: 9781470441166, 978-1470441166
        ISBN10: 1470441160

        Description

        Book Synopsis
        Introduces functional analysis to undergraduate mathematics students who possess a basic background in analysis and linear algebra. By studying how the Volterra operator acts on vector spaces of continuous functions, its readers will sharpen their skills, reinterpret what they already know, and learn fundamental Banach-space techniques.

        Table of Contents
        • From Volterra to Banach: Starting out
        • Springing ahead
        • Springing higher
        • Operators as points
        • Travels with Titchmarsh: The Titchmarsh convolution theorem
        • Titchmarsh finale
        • Invariance through duality: Invariant subspaces
        • Digging into duality
        • Rendezvous with Riez
        • V-invariance: Finale
        • Uniform convergence
        • $\mathbb{C}$omplex primer
        • Uniform approximation by polynomials
        • Riemann-Stieltjes primer
        • Bibliography
        • Index

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