Book Review
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MathSciNet review:
1567652
Full text of review:
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Book Information:
Authors:
Ivan Erdelyi and
Wang Shengwang
Title:
A local spectral theorem for closed operators
Additional book information:
London Mathematical Society Lecture Notes Series, vol. 105, Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne, Sydney, 1985, $22.95. ISBN 0-521-31314-7.
Ion Colojoară and Ciprian Foiaş, Theory of generalized spectral operators, Mathematics and its Applications, Vol. 9, Gordon and Breach Science Publishers, New York-London-Paris, 1968. MR 0394282
H. R. Dowson, Spectral theory of linear operators, London Mathematical Society Monographs, vol. 12, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London-New York, 1978. MR 511427
Nelson Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321–354. MR 63563
4. N. Dunford and J. Schwartz, Linear operators. I-III, Wiley-Interscience, New York, 1957-1973.
5. D. Hilbert, Grundzüge einer allgemeiner Theorie der linearen Integralgleichungen (1906), reprinted by Chelsea Pub. Co., New York, 1952.
6. J. von Neumann, Allgemeine Eigenwerttheorie Hermitischer Funktionaloperatoren, Math. Ann. 102 (1929-1930), 49-131.
7. F. Riesz, Les systèmes d'équations à une infinité d'inconnues, Gauthier-Villars, Paris, 1913.
- 1.
- I. Colojoară and C. Foiaş, Theory of generalized spectral operators, Gordon & Breach, New York, 1968. MR 0394282
- 2.
- H. R. Dowson, Spectral theory of linear operators, London Math. Soc. Monograph Series 12, Academic Press, London, 1978. MR 511427
- 3.
- N. Dunford, Spectral operators, Pacific J. Math. 4 (1954), 321-354. MR 63563
- 4.
- N. Dunford and J. Schwartz, Linear operators. I-III, Wiley-Interscience, New York, 1957-1973.
- 5.
- D. Hilbert, Grundzüge einer allgemeiner Theorie der linearen Integralgleichungen (1906), reprinted by Chelsea Pub. Co., New York, 1952.
- 6.
- J. von Neumann, Allgemeine Eigenwerttheorie Hermitischer Funktionaloperatoren, Math. Ann. 102 (1929-1930), 49-131.
- 7.
- F. Riesz, Les systèmes d'équations à une infinité d'inconnues, Gauthier-Villars, Paris, 1913.
Review Information:
Reviewer:
Shmuel Kantorovitz
Journal:
Bull. Amer. Math. Soc.
17 (1987), 389-391
DOI:
https://doi.org/10.1090/S0273-0979-1987-15610-2