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Real Function Algebras - Chapman & Hall / CRC Pure and Applied Mathematics S.H. Kulkarni 1st edition
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Real Function Algebras - Chapman & Hall / CRC Pure and Applied Mathematics
S.H. Kulkarni
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.
208 pages
| Media | Books Paperback Book (Book with soft cover and glued back) |
| Released | September 5, 2019 |
| ISBN13 | 9780367402716 |
| Publishers | Taylor & Francis Ltd |
| Pages | 208 |
| Dimensions | 150 × 220 × 10 mm · 453 g |
| Language | English |
| Series Editor | Nashed, Zuhair (University of Central Florida, Orlando, USA) |
| Series Editor | Taft, Earl |
