Review: H. Goldmann, Uniform Fréchet algebras
John Wermer
Source: Bull. Amer. Math. Soc. (N.S.) Volume 25, Number 1
(1991), 180-184.
First Page:
Show
Hide
Reviewed Works:
H. Goldmann, Uniform Fréchet algebras. North-Holland, Amsterdam, 1990, 355 pp., $102.50. ISBN 0-444-88488-2
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bams/1183657064
References
[Ar] R. Arens, A generalization of normed rings, Pacific J. Math. 2 (1952), 455-471.
Zentralblatt MATH: 0047.35802
Mathematical Reviews (MathSciNet): MR51445
Project Euclid: euclid.pjm/1103051633
[Bi] E. Bishop, Holomorphic completions, analytic continuations, and the interpolation of seminorms, Ann. of Math. (2) 78 (1963), 468-500.
Zentralblatt MATH: 0131.30901
Mathematical Reviews (MathSciNet): MR155016
Digital Object Identifier: doi:10.2307/1970537
[Br] A. Browder, Introduction to function algebras, Benjamin, New York, and Amsterdam, 1969.
Zentralblatt MATH: 0199.46103
Mathematical Reviews (MathSciNet): MR246125
[Bro] R. M. Brooks, Partitions of unity in F-algebras, Math. Ann. 177 (1968), 265-272.
Zentralblatt MATH: 0157.20503
Mathematical Reviews (MathSciNet): MR227773
Digital Object Identifier: doi:10.1007/BF01350718
[Ca] R. L. Carpenter, Continuity of derivations on F-algebras, Amer. J. Math. 93 (1971), 500-502.
Zentralblatt MATH: 0221.46045
Mathematical Reviews (MathSciNet): MR287316
Digital Object Identifier: doi:10.2307/2373390
[Ga] T. W. Gamelin, Uniform algebras, Prentice-Hall, Englewood Cliffs, NJ, 1969.
Zentralblatt MATH: 0213.40401
Mathematical Reviews (MathSciNet): MR410387
[Go1] H. Goldmann, Finitely generated maximum modulus algebras, Ann. Polon. Math. 47 (1986), 149-153.
Zentralblatt MATH: 0648.46046
Mathematical Reviews (MathSciNet): MR884932
[Go2] H. Goldmann, An analytic algebra without analytic structure in the spectrum, Ark. Math. 27 (1989), 89-95.
Zentralblatt MATH: 0678.32010
Mathematical Reviews (MathSciNet): MR1004723
Digital Object Identifier: doi:10.1007/BF02386361
[Le] G. M. Leibowitz, Lectures on complex function algebras, Scott, Foresman and Co., 1970.
Zentralblatt MATH: 0219.46037
Mathematical Reviews (MathSciNet): MR428042
[Mi] E. Michael, Locally m-convex topological algebras, Mem. Amer. Math. Soc. 11 (1952).
Zentralblatt MATH: 0047.35502
Mathematical Reviews (MathSciNet): MR51444
[Ru] W. Rudin, Analyticity and the maximum modulus principle, Duke Math. J. 20(1953), 449-457.
Zentralblatt MATH: 0052.07603
Mathematical Reviews (MathSciNet): MR56076
Digital Object Identifier: doi:10.1215/S0012-7094-53-02045-6
Project Euclid: euclid.dmj/1077465335
[S1] Z. Słodkowski, Analytic set-valued functions and spectra, Math. Ann. 256 (1981), 363-386.
Zentralblatt MATH: 0452.46028
Mathematical Reviews (MathSciNet): MR626955
Digital Object Identifier: doi:10.1007/BF01679703
[St] E. L. Stout, The theory of uniform algebras, Bogden & Quigley, Inc., New York, 1971.
Zentralblatt MATH: 0286.46049
Mathematical Reviews (MathSciNet): MR423083
[We] J. Wermer, Maximum modulus algebras and singularity sets, Proc. Roy. Soc. Edinburgh 86A (1980), 327-331.
Zentralblatt MATH: 0453.46041
Mathematical Reviews (MathSciNet): MR592560
Digital Object Identifier: doi:10.1017/S0308210500012233
Bulletin (New Series) of the American Mathematical Society