Book Review
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MathSciNet review:
1567548
Full text of review:
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Book Information:
Author:
Shmuel Kantorovitz
Title:
Spectral theory of Banach space operators
Additional book information:
Lecture Notes in Mathematics, Vol. 1012, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 179 pp., $9.50, 1984. ISBN 3-5401-2673-2.
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
Nelson Dunford, A survey of the theory of spectral operators, Bull. Amer. Math. Soc. 64 (1958), 217–274. MR 104865, DOI 10.1090/S0002-9904-1958-10219-0
Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
Ciprian Foiaş, Une application des distributions vectorielles à la théorie spectrale, Bull. Sci. Math. (2) 84 (1960), 147–158 (French). MR 123193
Héctor J. Sussmann, Non-spectrality of a class of second order ordinary differential operators, Comm. Pure Appl. Math. 23 (1970), 819–840. MR 264461, DOI 10.1002/cpa.3160230509
- 1.
- I. Colojoară and C. Foiaş, Theory of generalized spectral operators, Gordon and Breach, New York, 1968. MR 0394282
- 2.
- N. Dunford, A survey of the theory of spectral operators, Bull. Amer. Math. Soc. 64 (1958), 217-274. MR 104865
- 3.
- N. Dunford and J. T. Schwartz, Linear operators, Parts I, II, III, Wiley-Interscience, New York, 1958, 1971. MR 1009162
- 4.
- C. Foiaş, Une application des distributions vectorielles à la théorie spectrale, Bull. Sci. Math. 84 (1960), 147-158. MR 123193
- 5.
- H. J. Sussman, Non-spectrality of a class of second order ordinary differential operators, Comm. Pure Appl. Math. 23 (1970), 819-840. MR 264461
Review Information:
Reviewer:
Florian-Horia Vasilescu
Journal:
Bull. Amer. Math. Soc.
12 (1985), 289-292
DOI:
https://doi.org/10.1090/S0273-0979-1985-15382-0