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{ "item_title" : "Functional Calculi", "item_author" : [" Carlos Bosch", "Charles Swartz "], "item_description" : "A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining functions of an operator. Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/9/81/441/597/9814415979_b.jpg", "price_data" : { "retail_price" : "95.00", "online_price" : "95.00", "our_price" : "95.00", "club_price" : "95.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Functional Calculi|Carlos Bosch

Functional Calculi

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Overview

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining "functions of an operator". Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given.

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Details

  • ISBN-13: 9789814415972
  • ISBN-10: 9814415979
  • Publisher: World Scientific Publishing Company
  • Publish Date: May 2013
  • Dimensions: 9 x 6 x 0.8 inches
  • Shipping Weight: 1.2 pounds
  • Page Count: 228

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