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Trace ideals and their applications / Barry Simon.


Cambridge [England] ; New York : Cambridge University Press, 1979.
ISBN 9780521222860, 0521222869, 0521222809

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Subjects Hilbert space.
Hilbert, Espace de.
Hilbert-Raum.
Hilbertruimten.
Ideal (Mathematik)
Ideal.
Idealen (wiskunde)
Ideals (Algebra)
Idealtheorie.
Idéaux (Algèbre)
Mathematical physics.
Mathematische fysica.
Operator theory.
Operator.
Operatortheorie.
Opérateurs, Théorie des.
Physique mathématique.
Series London Mathematical Society lecture note series ; 35.
Description 134 pages ; 23 cm.
Copyright Date 1979.
Notes "Based on a series of lectures given at the Mathematics Department of the University of Texas at Austin in April 1977."
Includes bibliographical references (pages 120-131) and index.
Summary These expository lectures contain an advanced technical account of a branch of mathematical analysis. In his own lucid and readable style the author begins with a comprehensive review of the methods of bounded operators in a Hilbert space. He then goes on to discuss a wide variety of applications including Fredholm theory and more specifically his own specialty of mathematical quantum theory. included also are an extensive and up-to-date list of references enabling the reader to delve more deeply into this topical subject.
Contents Preliminaries -- Calkin's theory of operator ideals and symmetrically normed ideals; convergence theorems for g[subscript p] -- Trace, determinant and Lidskii's theorem -- f(x)g( -i[nabla/del]) -- Fredholm theory -- Scattering with a trace condition -- Bound state problems -- Lots if inequalities -- Regularized determinants and renormalization in quantum field theory -- An introduction to the theory on a Banach space.
Other Identifiers 3446694 BNLS
Network Numbers (OCoLC)4516040
(OCoLC)ocm04516040
WorldCat Search OCLC WorldCat
WorldCat Identities Simon, Barry, 1946-
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