Articoli correlati a Spectral Theory of Operators in Hilbert Space: 9
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The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra.
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Contenuti
I. Spectral Representation.- 1. Three typical problems.- 2. Linear space and functional representation. Linear operators.- 3. Spectral representation.- 4. Functional calculus.- 5. Differential equations.- II. Norm and Inner Product.- 6. Normed spaces.- 7. Inner product.- 8. Inner products in function spaces.- 9. Formally self-adjoint operators.- 10. Adjoint operators in function spaces.- 11. Orthogonality.- 12. Orthogonal projection.- 13. Remarks about the role of self-adjoint operators in physics.- III. Hilbert Space.- 14. Completeness.- 15. First extension theorem. Ideal functions.- 16. Fourier transformation.- 17. The projection theorem.- 18. Bounded forms.- IV. Bounded Operators.- 19. Operator inequalities, operator norm, operator convergence.- 20. Integral operators.- 21. Functions of bounded operators.- 22. Spectral representation.- 23. Normal and unitary operators.- V. Operators with Discrete Spectra.- 24. Operators with partly discrete spectra.- 25. Completely continuous operators.- 26. Completely continuous integral operators.- 27. Maximum-minimum properties of eigenvalues.- VI. Non-Bounded Operators.- 28. Closure and adjointness.- 29. Closed forms.- 30. Spectral resolution of self-adjoint operators.- 31. Closeable forms.- VII. Differential Operators.- 32. Regular differential operators.- 33. Ordinary differential operators in a semi-bounded domain.- 34. Partial differential operators.- 35. Partial differential operators with boundary conditions.- 36. Partial differential operators with discrete spectra.- VIII. Perturbation of Spectra.- 37. Perturbation of discrete spectra.- 38. Perturbation of continuous spectra.- 39. Scattering.- References.
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Book by K O FriedrichsKurt Otto Friedrichs
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Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9)
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Condizione: Very Good. viii, 244 pp., paperback, minor age-toning and discoloration to covers, else text clean & binding tight. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Codice articolo ZB1212734
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Spectral Theory of Operators in Hilbert Space
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Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9)
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Spectral theory of operators in Hilbert space. Applied mathematical sciences ; Vol. 9.
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New York, Heidelberg, Berlin : Springer, 1973
ISBN 10: 0387900764
ISBN 13: 9780387900766
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Broschur. Condizione: gut. VII, 244 S.; 26 cm, Besitzvermerk, Rand mit Läsuren. Sprache: eng. Codice articolo 0318-047
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Applied Mathematical Sciences: Spectral Theory of Operators in Hilbert Space (Volume 9)
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Condizione: Good. Volume 9. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0387900764. Codice articolo 9820152
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Spectral Theory of Operators in Hilbert Space
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Springer, New York, 1973
ISBN 10: 0387900764
ISBN 13: 9780387900766
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Paperback. Condizione: Near Fine. First Edition. Applied Mathematical Sciences; 9.5 X 6.6 X 0.6 inches; 245 pages. Codice articolo 51981
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Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9)
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Spectral Theory of Operators in Hilbert Space
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Spectral Theory of Operators in Hilbert Space (Paperback)
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Springer-Verlag New York Inc., New York, NY, 1973
ISBN 10: 0387900764
ISBN 13: 9780387900766
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Da: Grand Eagle Retail, Bensenville, IL, U.S.A.
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Paperback. Condizione: new. Paperback. The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. The guiding notion in this approach is that of spectral representation. At the same time the notion of function of an operator is emphasized. The formal aspects of these concepts are explained in the first two chapters. Only then is the notion of Hilbert space introduced. The following three chapters concern bounded, completely continuous, and non-bounded operators. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. The preparation of the original version of these lecture notes was greatly helped by the assistance of P. Rejto. Various valuable suggestions made by him and by R. Lewis have been incorporated. The present version of the notes contains extensive modifica tions, in particular in the chapters on bounded and unbounded operators. February, 1973 K.O.F. PREFACE TO THE SECOND PRINTING The second printing (1980) is a basically unchanged reprint in which a number of minor errors were corrected. The author wishes to thank Klaus Schmidt (Lausanne) and John Sylvester (New York) for their lists of errors. v TABLE OF CONTENTS I. Spectral Representation 1 1. Three typical problems 1 12 2. Linear space and functional representation. The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780387900766
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Spectral Theory of Operators in Hilbert Space (Applied Mathematical Sciences, 9)
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