Book Review
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MathSciNet review:
1567980
Full text of review:
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Book Information:
Author:
Yu. S. Samoilenko
Title:
Spectral theory of families of self-adjoint operators
Additional book information:
Kluwer Academic Publishers,\ 1991,\ 293 pp.,\ US$129.00,\ ISBN 0-7923-0703-8.
[BS1] M. Sh. Birman and M. Z. Solomyak, The spectral theory of self-adjoint operators in Hilbert spaces, Kluwer, Dordrecht, 1987.
John B. Conway, A course in functional analysis, 2nd ed., Graduate Texts in Mathematics, vol. 96, Springer-Verlag, New York, 1990. MR 1070713
John Ernest, Charting the operator terrain, Mem. Amer. Math. Soc. 6 (1976), no. 171, iii+207. MR 463941, DOI 10.1090/memo/0171
Paul R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, AMS Chelsea Publishing, Providence, RI, 1998. Reprint of the second (1957) edition. MR 1653399
[RN1] F. Riesz and B. Sz-Nagy, Leçons d'analyse fonctionelle, 2nd ed., Akad. Kiado, Budapest, 1952.
Michael Reed and Barry Simon, Methods of modern mathematical physics. I. Functional analysis, Academic Press, New York-London, 1972. MR 0493419
John von Neumann, The mathematician, The Works of the Mind, University of Chicago Press, Chicago, Ill., 1947, pp. 180–196. Edited for the Committee on Social Thought by Robert B. Heywood. MR 0021929
- [BS1]
- M. Sh. Birman and M. Z. Solomyak, The spectral theory of self-adjoint operators in Hilbert spaces, Kluwer, Dordrecht, 1987.
- [C1]
- J. B. Conway, A course in functional analysis, Springer-Verlag, New York, 1990. MR 1070713 (91e:46001)
- [E1]
- J. Ernest, Charting the operator terrain, Mem. Amer. Math. Soc. 127 (1967), 313-316. MR 0463941 (57:3879)
- [H1]
- P. R. Halmos, Introduction to Hilbert space and the theory of spectral multiplicity, Chelsea, New York, 1957. MR 1653399 (99g:47001)
- [RN1]
- F. Riesz and B. Sz-Nagy, Leçons d'analyse fonctionelle, 2nd ed., Akad. Kiado, Budapest, 1952.
- [RS1]
- M. Reed and B. Simon, Methods in mathematical physics, vols. 1-4, Academic Press, New York, 1972-78. MR 0493419 (58:12429a)
- [vN1]
- J. von Neumann, The mathematician, The Works of the Mind (R. B. Heywood, ed.), University of Chicago Press, 1950, pp. 180-196. MR 0021929 (9:130f)
Review Information:
Reviewer:
Alfredo Octavio
Journal:
Bull. Amer. Math. Soc.
27 (1992), 171-174
DOI:
https://doi.org/10.1090/S0273-0979-1992-00277-X
