Real function algebras

by Kulkarni, S. H.

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

Summary

"This self-contained reference/text presents a thorough, up-to-date 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 ... a detailed bibliography ... and more! 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[superscript 2], Re f[superscript 3], and Re f[superscript 4] ... and the positivity of the real part of a linear functional on a subspace of C(X). With over 600 display equations, Real Function Algebras is a convenient, highly useful reference for mathematical analysts; pure, applied, and industrial mathematicians; and theoretical physicists; and an excellent text for courses in Banach algebras and function algebras. Book jacket."--BOOK JACKET.