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Spectral theory of self-adjoint operators in Hilbert space

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Published by D. Reidel Pub. Co., Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers in Dordrecht, Boston, Norwell, MA, U.S.A .
Written in English

Subjects:

  • Selfadjoint operators.,
  • Spectral theory (Mathematics),
  • Hilbert space.

Book details:

Edition Notes

StatementM.S. Birman and M.Z. Solomjak.
SeriesMathematics and its applications (Soviet series), Mathematics and its applications (D. Reidel Publishing Company).
ContributionsSolomiak, M. Z.
Classifications
LC ClassificationsQA329.2 .B5713 1987
The Physical Object
Paginationxvi, 301 p. ;
Number of Pages301
ID Numbers
Open LibraryOL2722117M
ISBN 109027721793
LC Control Number86015645

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This text introduces students to Hilbert space and bounded self-adjoint operators, as well as the spectrum of an operator and its spectral decomposition. The author, Emeritus Professor of Mathematics at the University of Innsbruck, Austria, has ensured that the treatment is accessible to readers with no further background than a familiarity Cited by: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem). Linear Operators, Spectral Theory, Self Adjoint Operators in Hilbert Space, Part 2 by Nelson Dunford (Author), Jacob T. Schwartz (Author) ISBN ISBN Why is ISBN important? ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. Price: $ Spectral Theory of Self-Adjoint Operators in Hilbert Space | Michael Sh. Birman, M.Z. Solomjak | download | B–OK. Download books for free. Find books.

Description: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrödinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem). Among others, a number of.   Spectral Theory of Self-Adjoint Operators in Hilbert Space by M. S. Birman, , available at Book Depository with free delivery worldwide.5/5(1). Get this from a library! Spectral Theory of Self-Adjoint Operators in Hilbert Space. [M S Birman; M Z Solomjak] -- It isn't that they can't see the solution. It is Approach your problems from the right end that they can't see the problem. and begin with the answers. Then one day, perhaps you will find the final. Expanding on questions traditionally treated as the core of Hilbert space theory, this book focuses on unbounded operators, develops spectral theory for a finite family of commuting self-adjoint Read more.

spectral theorem for a normal operator on a separable Hilbert space is obtained as a special case of the theory discussed in Chapter 3; this is followed by a discussion of the polar decompo-sition of operators; we then discuss compact operators and the spectral decomposition of . Linear Operators, Part II: Spectral Theory. Self Adjoint Operators in Hilbert Space | Nelson Dunford, Jacob T. Schwartz, William G. Bade, Robert G. Bartle | download. Compact operators on a Hilbert space 20 Chapter 3. The spectral theorem for bounded operators 34 Continuous functional calculus for self-adjoint operators 35 Spectral measures 40 The spectral theorem for self-adjoint operators 42 Projection-valued measures 48 The spectral theorem for normal operators 55 Chapter Size: KB. 1 OPERATOR AND SPECTRAL THEORY 5 Theorem 1) The space B(H 1;H 2) is a Banach space when equipped with the operator norm. 2) The space B(H 1;H 2) is complete for the strong topology. 3) The space B(H 1;H 2) is complete for the weak topology. 4) If (T n) converges strongly (or weakly) to T in B(H 1;H 2) then kTk liminf n kT nk: Closed and Closable Operators.