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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Book Information:

Author: H. Goldmann
Title: Uniform Fréchet algebras
Additional book information: North-Holland, Amsterdam, 1990, 355 pp., $102.50. ISBN 0-444-88488-2.

References [Enhancements On Off] (What's this?)

  • [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

Review Information:

Reviewer: John Wermer
Journal: Bull. Amer. Math. Soc. 25 (1991), 180-184
DOI: https://doi.org/10.1090/S0273-0979-1991-16059-3
American Mathematical Society