Function Algebras by I. Suciu (English) Paperback Book

Description: Function Algebras by I. Suciu Under the title of Function Algebras we may now include a very large number of works. The purpose of the monograph is to present a coherent exposition of the fundamental results of this theory with an orientation to their applicability to the theory of operator representations of function alge bras. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description Under the title of Function Algebras we may now include a very large number of works. published mainly in the last decade, which consti tute one of the important chapters of functional analysis. This chapter has grown up from various problems. permanently furnished to mathe matics. by the theory of functions. using modern methods of algebra, topology and functional analysis and presenting large possibilities of applications in operators theory. Herefrom proceeds its living character, the variety of obtained results. the variety of forms and contexts in which these results can be found. This also explains the difficulty of an exhaustive exposition of these problems. The purpose of the monograph is to present a coherent exposition of the fundamental results of this theory with an orientation to their applicability to the theory of operator representations of function alge bras. The idea of such a work appeared during the seminaries on function algebras held at the Mathematical Institute in Bucharest. under the direc tion of C. Foia~ and at the Faculty of Mathematics and Mechanics under the direction of N. Boboc. It is a pleasure for the author to express his gratitude to C. Foia~ for assistance in his efforts. in general. and for the large contribution the discussions and cooperation with him had brought in the elaboration of this monograph. I also would like to thank N. Boboc for the clear discussions we have had during the seminaries and the elaboration of some chapters. Table of Contents 1 Preliminaries.- 1.1. Commutative Banach algebras.- 1.2. Measures.- 1.3. Convexity.- 1.4. Holomorphic functions of several complex variables.- 2 Boundaries.- 2.1. Function algebras.- 2.2. Representing measures.- 2.3. The Choquet boundary.- 2.4. The Shilov boundary.- 2.5. Geometric characterization.- 2.6. Representing theorems.- 3 Algebras on the maximal ideal space.- 3.1. The maximal ideal space.- 3.2. Locally analytic functions.- 3.3. The local maximum modulus principle.- 3.4. Gleason parts.- 4 Approximation and interpolation.- 4.1. Restrictions.- 4.2. The case of the intersections of peak sets.- 4.3. Antisymmetry.- 4.4. Some characterizations of C(X).- 5 Hp-spaces.- 5.1. Definitions and basic lemmas.- 5.2. The theorem of F. and M. Riesz and Szegö theorem.- 5.3. The factorization theorem.- 5.4. The characterization of the functions in Hp.- 5.5. Invariant subspaces.- 5.6. The algebra H?(dm).- 6 Special classes of function algebras.- 6.1. Dirichlet and logmodular algebras.- 6.2. Algebras generated by inner functions.- 6.3. Maximal algebras.- 6.4. Functions algebras on compact sets of the complex plane.- 6.5. The standard algebra and H? algebra.- 7 Operator representations of function algebras.- 7.1. Positive definite maps on C(X). Spectral and semispectral measures.- 7.2. Representations of function algebras ..- 7.3. Representations of the algebra C(X).- 8 Elements of spectral theory of representations of function algebras.- 8.1. The canonical decomposition.- 8.2. The spectral dilation and attached spectral measures.- 8.3. Szegö measures and natural representations.- 8.4. The Wold decomposition.- 8.5. Decompositions with respect to Gleason parts.- 9 Elements of prediction theory on S- generated algebras.- 9.1. Semigroups of contractions.- 9.2. The Wolddecomposition.- 9.3. The semigroup of unilateral translations.- 9.4. Representations of S-generated algebras.- 9.5. Prediction theorems.- 10 Some examples in the spectral theory of non-normal operators.- 10.1. The case of a single contraction.- 10.2. Operators having spectral sets with connected complement.- 10.3. Finite systems of commuting contractions.- Reference list. Promotional Springer Book Archives Long Description Under the title of Function Algebras we may now include a very large number of works. published mainly in the last decade, which consti Details ISBN9028604456 Author I. Suciu Publisher Springer Year 1975 Translator M. Mihailescu ISBN-10 9028604456 ISBN-13 9789028604452 Format Paperback Imprint Kluwer Academic Publishers Place of Publication Dordrecht Country of Publication Netherlands Translated from Romanian Language English Media Book Short Title FUNCTION ALGEBRAS 1975/E DEWEY 512 Pages 272 Edition 1975th Illustrations 272 p. Publication Date 1975-06-24 DOI 10.1023/b103748;10.1007/978-94-010-1912-5 Edition Description 1975 ed. Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:143774974;

Price: 114.49 AUD

Location: Melbourne

End Time: 2024-10-25T23:31:07.000Z

Shipping Cost: 0 AUD