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Book Review
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Book Information
Author(s):
Jerome A. Goldstein
Title:
Semigroups of linear operators and applications
Additional book information:
Oxford Mathematical Monographs, Oxford University Press, Clarendon Press, New York and Oxford, 1985, x + 245 pp., $42.50. ISBN 0-19-503540-2
References:
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- [Ba] A. V. Balakrishnan, Applied functional analysis, second ed., Springer-Verlag, 1981. MR 612793
- [BaR] C. J. K. Batty and D. W. Robinson, Positive one-parameter semigroups on ordered Banach spaces, Acta Appl. Math. 1 (1984), 221-296. MR 753696
- [BB] P. L. Butzer and H. Berens, Semi-groups of operators and approximation, Grundlehren Math. Wiss., Band 145, Springer-Verlag, Berlin and New York, 1967. MR 230022
- [B-M] A. Belleni-Morante, Applied semigroups and evolution equations, Clarendon Press, 1979. MR 548865
- [Br] O. Bratteli, Derivations, dissipations and groups actions on C* -algebras, Lecture Notes in Math., vol. 1229, Springer-Verlag, Berlin and New York, 1986. MR 871870
- [BrJ] O. Bratteli and P. E. T. Jørgensen (eds. ), Positive semigroups of operators, and applications, D. Reidel Publishing Company, 1984.
- [BrR] O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics. I, second ed., Springer-Verlag, Berlin and New York, 1987. MR 611508
- [C] P. R. Chernoff, Product formulas, non-linear semigroups and addition of unbounded operators, Mem. Amer. Math. Soc., no. 140 (1974). MR 417851
- [vC] J. A. van Casteren, Generators of strongly continuous semigroups, Pitman Press, 1985.
- [D] E. B. Davies, One-parameter semigroups, Academic Press, 1980. MR 591851
- [F1] H. O. Fattorini, The Cauchy problem, Addison-Wesley, 1983. MR 692768
- [F2] H. O. Fattorini, Second order linear differential equations in Banach spaces, North-Holland, 1985. MR 797071
- [Fa] W. G. Faris, Self-adjoint operators, Lecture Notes in Math., vol. 433, Springer-Verlag, Berlin and New York, 1975. MR 467348
- [Fr] A. Friedman, Partial differential equations, Holt, Rinehart and Winston, 1969. MR 445088
- [G] J. A. Goldstein, Semigroups of linear operators and applications, Oxford Univ. Press/ Clarendon Press, 1985. MR 790497
- [HP] E. Hille and R. S. Phillips, Functional analysis and semi-groups, Amer. Math. Soc. Colloq. Publ., no. 31, Amer. Math. Soc., Providence, R. I., 1957. MR 89373
- [Kl] T. Kato, Perturbation theory for linear operators, Grundlehren Math. Wiss., Band 132, Springer-Verlag, Berlin and New York, 1966. MR 203473
- [K2] T. Kato, Linear evolution equations of "hyperbolic" type, J. Fac. Sci. Univ. Tokyo 17 (1970), 241-258. MR 279626
- [Kr] S. G. Krein, Linear differential equations in Banach space, Transl. Math. Monographs, vol. 29, Amer. Math. Soc., Providence, R. I., 1971. MR 342804
- [N] R. Nagel (ed. ), One-parameter semigroups of positive operators, Lecture Notes in Math., vol. 1184, Springer-Verlag, Berlin and New York, 1986. MR 839450
- [Pa] A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Math. Sciences, vol. 44, Springer-Verlag, Berlin and New York, 1983. MR 710486
- [Pe] G. Peano, Intégration par séries des équations différentielles linéaires, Math. Ann. 32 (1888), 450-456. An earlier version appeared in Atti. Accad. Sci. Torino, 20 February, 1887. MR 1510521
- [T] H. Tannabe, Equations of evolution, Pitman Press, 1979.
- [Y] K. Yosida, Functional analysis, 6th ed., Springer-Verlag, 1980. MR 617913
- [Z] S. D. Zaidman, Abstract differential equations, Pitman Press, 1979. MR 569750
Additional Information:
Reviewer(s):
Ola
Bratteli
Review Information:
Journal:
Bull. Amer. Math. Soc.
18
(1988),
100-103.
DOI:
10.1090/S0273-0979-1988-15621-2
PII:
S 0273-0979(1988)15621-2
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