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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This review is from: Real Function Algebras (Chapman & Hall/CRC Pure and Applied Mathematics) (Hardcover)
Super algebra book it does not get too complex to loose the useability, but is up-to-date account of the theory and real function algebras. Is a convenient highly useful reference for mathematical analysts.
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In this monograph we are concerned with real function algebras, which are, in particular, Banach algebras. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
topological involution, complex function algebra, complexification technique, real disk algebra, real function algebra, continuous point derivation, bishop decomposition, antisymmetric algebra, complex subalgebra, real subalgebra, uniform algebra, function algebras, algebra involution, map ker, symmetric about the real axis, maximal ideal space, representing measure, spectral radius formula, real algebra, real subspace, such thatf, complex subspace, normed algebra, carrier space, uniform closure Key Phrases - Capitalized Phrases (CAPs): (learn more)
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In this monograph we are concerned with real function algebras, which are, in particular, Banach algebras. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
topological involution, complex function algebra, complexification technique, real disk algebra, real function algebra, continuous point derivation, bishop decomposition, antisymmetric algebra, complex subalgebra, real subalgebra, uniform algebra, function algebras, algebra involution, map ker, symmetric about the real axis, maximal ideal space, representing measure, spectral radius formula, real algebra, real subspace, such thatf, complex subspace, normed algebra, carrier space, uniform closure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Let Abe, Real Function Algebra Equal New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 40
books:
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- Introduction to Set Theory, Third Edition, Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics) by Karel Hrbacek in Front Matter (1), and Front Matter (2)
- Set Theory by Thomas Jech in Front Matter (1), and Front Matter (2)
- Multivariable Calculus (3rd Edition) by Monty J. Strauss in Front Matter
- The Principles of Mathematical Analysis (International Series in Pure & Applied Mathematics) by Walter Rudin in Back Matter
- Functional Analysis (Dover Books on Mathematics) by George Bachman in Front Matter
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