On a characterization of the maximal
ideal spaces of commutative -algebras
in which every element
is the square of another
Authors:
Osamu Hatori and Takeshi Miura
Journal:
Proc. Amer. Math. Soc. 128 (2000), 1185-1189
MSC (2000):
Primary 46J10
DOI:
https://doi.org/10.1090/S0002-9939-99-05454-4
Published electronically:
September 30, 1999
MathSciNet review:
1690991
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: A topological condition is given for a locally connected compact Hausdorff space on which every complex-valued continuous function is the square of another. The condition need not be necessary nor sufficient unless the space is locally connected.
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E. M. \v{C}irka, Approximation of continuous functions by functions holomorphic on Jordan arcs in
, Soviet Math. 7 (1966), pp. 1-99.
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Additional Information
Osamu Hatori
Affiliation:
Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-chou, Niigata 950-21, Japan
Takeshi Miura
Affiliation:
Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-chou, Niigata 950-21, Japan
DOI:
https://doi.org/10.1090/S0002-9939-99-05454-4
Keywords:
Commutative Banach algebras,
maximal ideal spaces
Received by editor(s):
February 20, 1998
Received by editor(s) in revised form:
June 17, 1998
Published electronically:
September 30, 1999
Additional Notes:
The first author was supported in part by the Grants in Aid for Scientific Research, The Ministry of Education, Science and Culture, Japan
Dedicated:
Dedicated to Professor Junzo Wada on his seventieth birthday
Communicated by:
David R. Larson
Article copyright:
© Copyright 2000
American Mathematical Society