Real function algebras

Real function algebras

by Kulkarni, S. H.

Type Book
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This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed biblio…

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Title Statements

  • Full title :Real function algebras / S.H. Kulkarni, B.V. Limaye.

Summary

This self-contained reference/text presents a thorough account of the theory of real function algebras. Employing the intrinsic approach, avoiding the complexification technique, and generalizing the theory of complex function algebras, this single-source volume includes: an introduction to real Banach algebras; various generalizations of the Stone-Weierstrass theorem; Gleason parts; Choquet and Shilov boundaries; isometries of real function algebras; extensive references; and a detailed bibliography.;Real Function Algebras offers results of independent interest such as: topological conditions for the commutativity of a real or complex Banach algebra; Ransford's short elementary proof of the Bishop-Stone-Weierstrass theorem; the implication of the analyticity or antianalyticity of f from the harmonicity of Re f, Re f(2), Re f(3), and Re f(4); and the positivity of the real part of a linear functional on a subspace of C(X).;With over 600 display equations, this reference is for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and a text for courses in Banach algebras and function algebras.

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Edition Statements

  • Publication Date:2019.

Publication Statements

Notes

Originally published: New York: Dekker, 1992.

The Physical Object

  • Description:1 online resource

Edition Identifiers

  • ISBN:9781003066859, 1003066852, 9781000127515, 1000127516, 9781000148848, 100014884X, 9781000105636, 1000105636
  • oclc:on1197638048
  • LC Classification:QA326
  • Dewey Decimal:512.55

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