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Book Review
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Book Information
Author(s):
H. Goldmann
Title:
Uniform Fréchet algebras
Additional book information:
North-Holland, Amsterdam, 1990, 355 pp., $102.50. ISBN 0-444-88488-2
References:
- [Ar] R. Arens, A generalization of normed rings, Pacific J. Math. 2 (1952), 455-471. MR 51445
- [Bi] E. Bishop, Holomorphic completions, analytic continuations, and the interpolation of seminorms, Ann. of Math. (2) 78 (1963), 468-500. MR 155016
- [Br] A. Browder, Introduction to function algebras, Benjamin, New York, and Amsterdam, 1969. MR 246125
- [Bro] R. M. Brooks, Partitions of unity in F-algebras, Math. Ann. 177 (1968), 265-272. MR 227773
- [Ca] R. L. Carpenter, Continuity of derivations on F-algebras, Amer. J. Math. 93 (1971), 500-502. MR 287316
- [Ga] T. W. Gamelin, Uniform algebras, Prentice-Hall, Englewood Cliffs, NJ, 1969. MR 410387
- [Go1] H. Goldmann, Finitely generated maximum modulus algebras, Ann. Polon. Math. 47 (1986), 149-153. MR 884932
- [Go2] H. Goldmann, An analytic algebra without analytic structure in the spectrum, Ark. Math. 27 (1989), 89-95. MR 1004723
- [Le] G. M. Leibowitz, Lectures on complex function algebras, Scott, Foresman and Co., 1970. MR 428042
- [Mi] E. Michael, Locally m-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952). MR 51444
- [Ru] W. Rudin, Analyticity and the maximum modulus principle, Duke Math. J. 20(1953), 449-457. MR 56076
- [S1] Z. Słodkowski, Analytic set-valued functions and spectra, Math. Ann. 256 (1981), 363-386. MR 626955
- [St] E. L. Stout, The theory of uniform algebras, Bogden & Quigley, Inc., New York, 1971. MR 423083
- [We] J. Wermer, Maximum modulus algebras and singularity sets, Proc. Roy. Soc. Edinburgh 86A (1980), 327-331. MR 592560
Additional Information:
Reviewer(s):
John
Wermer
Review Information:
Journal:
Bull. Amer. Math. Soc.
25
(1991),
180-184.
DOI:
10.1090/S0273-0979-1991-16059-3
PII:
S 0273-0979(1991)16059-3
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