Big-planes, boundaries and function algebras
著者
書誌事項
Big-planes, boundaries and function algebras
（North-Holland mathematics studies, 172）
North-Holland, 1992
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注記
Bibliography: p. [280]-286
Includes index
内容説明・目次
内容説明
Treated in this volume are selected topics in analytic -almost-periodic functions and their representations as -analytic functions in the big-plane; n-tuple Shilov boundaries of function spaces, minimal norm principle for vector-valued functions and their applications in the study of vector-valued functions and n-tuple polynomial and rational hulls. Applications to the problem of existence of n-dimensional complex analytic structures, analytic -almost-periodic structures and structures of -analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.
目次
Chapter I: Uniform Algebras. Spectrum of an Algebra Element. LinearMultiplicative Functionals. Maximal Ideals. Some Examples. Shilov Boundary.Chapter II: -Analytic Functions in the Big-Plane. Generalized-analytic Functions. -analytic Functions on the Big-disc. The Big-disc Algebra. Boundary Behavior in the Big-disc. Algebras of v-analytic Functions. -entire Functions.Spectral Mappings of Semigroups. The AlgebraHG . Algebras betweenHG and LG .Appendix. Analytic Measures. Chapter III: n-Tuple ShilovBoundaries. n-tuple Boundaries of Uniform Algebras.n-tuple Boundaries of Function Spaces. Properties of n-tuple Shilov Boundaries. Shilov Boundaries of Tensor Products. Multi-tupleHulls. Chapter IV: Analytic Structures in Uniform Algebra Spectra.n-dimensional Manifolds in Spectra. Big-manifolds in AlgebraSpectra. Almost Periodic and -analytic Structures. References. Index.
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