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Wednesday, July 22, 2020 | History

4 edition of Characterizations of C*-algebras--the Gelfand-Naimark theorems found in the catalog.

Characterizations of C*-algebras--the Gelfand-Naimark theorems

by Robert S. Doran

  • 217 Want to read
  • 1 Currently reading

Published by M. Dekker in New York .
Written in English

    Subjects:
  • C*-algebras.

  • Edition Notes

    Other titlesGelfand-Naimark theorems.
    StatementRobert S. Doran, Victor A. Belfi.
    SeriesMonographs and textbooks in pure and applied mathematics ;, 101
    ContributionsBelfi, Victor A., 1943-
    Classifications
    LC ClassificationsQA326 .D67 1986
    The Physical Object
    Paginationxi, 426 p. :
    Number of Pages426
    ID Numbers
    Open LibraryOL2547309M
    ISBN 100824775694
    LC Control Number85029234

    Characterizations of C*-Algebras: The Gelfand-Naimark Theorems. New York: Marcel Dekker. ISBN CS1 maint: ref=harv ; Halmos, Paul (). A Hilbert space problem book. Graduate Texts in Mathematics. 19 (2nd ed.). Springer Verlag. ISBN .   [3] R.S. Doran and V.A. Belfi, Characterizations of C*-algebras: The Gelfand-Naimark Theorems, CRC Press, Google Scholar [4] S. Friedland and R. Loewy, On the extreme points of quantum channels, Linear Algebra Appl. (), –Author: Shmuel Friedland.

    ^Halmos ,Sect. , page 69 ^ Doran, Robert S.; Victor A. Belfi. Characterizations of C*-Algebras: The Gelfand-Naimark Theorems. New York: Marcel Dekker. The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark.

    Examples. The identity function is trivially a unitary operator.; Rotations in R 2 are the simplest nontrivial example of unitary operators. Rotations do not change the length of a vector or the angle between two vectors. This example can be expanded to R 3.; On the vector space C of complex numbers, multiplication by a number of absolute value 1, that is, a number of the form e iθ for θ. Examples. The identity function is trivially a unitary operator.; Rotations in R 2 are the simplest nontrivial example of unitary operators. Rotations do not change the length of a vector or the angle between 2 vectors. This example can be expanded to R 3.; On the vector space C of complex numbers, multiplication by a number of absolute value 1, that is, a number of the form e i θ for θ.


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Characterizations of C*-algebras--the Gelfand-Naimark theorems by Robert S. Doran Download PDF EPUB FB2

Book Description. The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs provides complete proofs of.

The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs provides complete proofs of.

Characterizations of C* Algebras: the Gelfand Naimark Theorems (Chapman & Hall/CRC Pure and Applied Mathematics Book ) - Kindle edition by Doran, Robert. Download it once and read it on your Kindle device, PC, phones or tablets.

Use features like bookmarks, note taking and highlighting while reading Characterizations of C* Algebras: the Gelfand Naimark Theorems (Chapman & Hall/CRC Manufacturer: CRC Press. The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs Cited by:   The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs provides complete proofs of Cited by: Characterizations of C*-Algebras: The Gelfand-Naimark Theorems is an ideal text for graduatestudents taking such courses as The Theory of Banach Algebras and C*-Algebras: inaddition, it makes an outstanding reference for physicists, research mathematicians in analysis, and applied scientists using C*-algebras in such areas as statistical.

ISBN: OCLC Number: Description: XI, Seiten: Illustrationen. Contents: 1. The Gelfand-Naimark Theorems: Historical Perspective 2. Get this from a library. Characterizations of C* Algebras: the Gelfand Naimark Theorems. [Robert Doran] -- "The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern.

C ∗-algebras (pronounced "C-star") are subjects of research in functional analysis, a branch of mathematics.A C*-algebra is a Banach algebra together with an involution satisfying the properties of the adjoint.A particular case is that of a complex algebra A of continuous linear operators on a complex Hilbert space with two additional properties.

A is a topologically closed set in the norm. Abstract. Since the memorial work by I.M. Gelfand and M.A. Naimark [22], there have been various attempts to generalize the beautiful representation theorem for non-commutative C*-algebras (see e.g.

[12] and its bibliography).Cited by: Life. Naimark was born on 5 December in Odessa, part of modern-day Ukraine, but which was then part of the Russian family was Jewish, his father Aron Iakovlevich Naimark a professional artist, and his mother Zefir Moiseevna.

He was four years old at the onset of World War I inand seven when the tumultuous Russian Revolution began in Known for: Gelfand–Naimark theorem.

C-algebras: the Gelfand Naimark Theorems V.S. Sunder Institute of Mathematical Sciences Chennai, India [email protected] IISc, Janu V.S. Sunder IMSc, Chennai Operator algebras - stage for non-commutativity (Panorama Lectures Series) I.

C -algebras: the Gelfand Naimark Theorems. The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance Pages:   Characterizations of C* Algebras: the Gelfand Naimark Theorems The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general Pages: Robert S Doran.

Texas Christian Characterizations of C* Algebras: the Gelfand Naimark Theorems. Characterizations of C*-algebras: the gelfand-naimark theorems / RobertVictor A.

Z-Library is one of the largest online libraries in the world that contains over 4, booksarticles. We aim to make literature accessible to everyone.

Personally, I don't consider the Stone Representation Theorem and the GNS-construction to be directly related. However, the former is closely related to the Gelfand representation, which in a way is the commutative version of the Gelfand-Naimark theorem.(Yes, a lot of theorems in the study of Banach algebras are named after Gelfand.).

Fell). (book) [] Characterizations of C*-algebras: The Gelfand-Naimark Theorems, Vol. #, Pure and Applied Mathematics, ( pages), Marcel-Dekker Publishing Company, (with V.

Belfi). (book) [] Harmonic analysis and derivations on P-commutative Banach *-algebras, Notices of the American Mathematical Society 31(), January. Doran, Robert S.; Belfi, Victor A. (), Characterizations of C*-algebras: The Gelfand-Naimark Theorems, CRC Press, ISBN Emch, G.

(), Algebraic Methods in Statistical Mechanics and Quantum Field Theory, Wiley-Interscience, ISBN Mathematically rigorous reference which provides extensive physics background. This book is widely regarded as a source of new research material, providing much supporting intuition, but it is difficult.

Dixmier, Jacques, Doran, Robert S.; Belfi, Victor A., Characterizations of C*-algebras: The Gelfand-Naimark Theorems, CRC Press.

A C*-metric algebra consists of a unital C*-algebra and a Leibniz Lip-norm on the C*-algebra. We show that if the Lip-norms concerned are lower semicontinuous, then any unital *-homomorphism from a C*-metric algebra to another one is necessarily Lipschitz. We come to the result that the free product of two unital completely Cited by: 6.Characterizations of C ∗-algebras whose local multiplier algebras are C ∗-direct products of prime C ∗-algebras are provided.

The quasi-Baer property is discussed for a C ∗ -algebras A with a finite group G of ∗ -automorphisms in terms of the skew group ring A ∗ G and the fixed : Gary F.

Birkenmeier, Jae Keol Park, S. Tariq Rizvi.This can be also used to give a monotonicity characterization of subhomogeneous C * -algebras as discussed in [4,Theorem 5].

In Section 3 we use these characterizations to generalize one function.