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Book Maximality of Algebras of Holomorphic Functions

Download or read book Maximality of Algebras of Holomorphic Functions written by Hugo Rossi and published by . This book was released on 1960 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Algebras of Holomorphic Functions and Control Theory

Download or read book Algebras of Holomorphic Functions and Control Theory written by Amol Sasane and published by Courier Corporation. This book was released on 2013-04-10 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics. 2009 edition.

Book Real Function Algebras

Download or read book Real Function Algebras written by S.H. Kulkarni and published by CRC Press. This book was released on 2020-08-26 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Algebras of Holomorphic Functions of N Complex Variables

Download or read book Algebras of Holomorphic Functions of N Complex Variables written by Nicolaas Albert van Arkel and published by . This book was released on 1970 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Summary in Dutch.

Book Extension of Holomorphic Functions

Download or read book Extension of Holomorphic Functions written by Marek Jarnicki and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-05 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.

Book Function Algebras and the Local Maximum Principle

Download or read book Function Algebras and the Local Maximum Principle written by Charles Earl Rickart and published by . This book was released on 1971 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields

Download or read book Theory and Applications of Holomorphic Functions on Algebraic Varieties over Arbitrary Ground Fields written by Oscar Zariski and published by American Mathematical Soc.. This book was released on 1951 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Algebras of Holomorphic Functions

Download or read book Algebras of Holomorphic Functions written by Frank T. Birtel and published by . This book was released on 1972 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Algebras of Bounded Holomorphic Functions

Download or read book Algebras of Bounded Holomorphic Functions written by Anders Fällström and published by . This book was released on 1994 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Natural Function Algebras

    Book Details:
  • Author : Charles E. Rickart
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 1461380707
  • Pages : 252 pages

Download or read book Natural Function Algebras written by Charles E. Rickart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term "function algebra" usually refers to a uniformly closed algebra of complex valued continuous functions on a compact Hausdorff space. Such Banach alge bras, which are also called "uniform algebras", have been much studied during the past 15 or 20 years. Since the most important examples of uniform algebras consist of, or are built up from, analytic functions, it is not surprising that most of the work has been dominated by questions of analyticity in one form or another. In fact, the study of these special algebras and their generalizations accounts for the bulk of the re search on function algebras. We are concerned here, however, with another facet of the subject based on the observation that very general algebras of continuous func tions tend to exhibit certain properties that are strongly reminiscent of analyticity. Although there exist a variety of well-known properties of this kind that could be mentioned, in many ways the most striking is a local maximum modulus principle proved in 1960 by Hugo Rossi [RIl]. This result, one of the deepest and most elegant in the theory of function algebras, is an essential tool in the theory as we have developed it here. It holds for an arbitrary Banaeh algebra of £unctions defined on the spectrum (maximal ideal space) of the algebra. These are the algebras, along with appropriate generalizations to algebras defined on noncompact spaces, that we call "natural func tion algebras".

Book Extension Problems and Stable Ranks

Download or read book Extension Problems and Stable Ranks written by Raymond Mortini and published by Springer Nature. This book was released on 2021-08-02 with total page 2197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.

Book Big Planes  Boundaries and Function Algebras

Download or read book Big Planes Boundaries and Function Algebras written by T.V. Tonev and published by Elsevier. This book was released on 1992-03-02 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Treated in this volume are selected topics in analytic &Ggr;-almost-periodic functions and their representations as &Ggr;-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 &Ggr;-almost-periodic structures and structures of &Ggr;-analytic big-manifolds respectively in commutative Banach algebra spectra are also discussed.

Book On Some Problems of Gel Fand

Download or read book On Some Problems of Gel Fand written by Kenneth Hoffman and published by . This book was released on 1958 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: