Proceedings of the American Mathematical Society

On a characterization of the maximal ideal spaces of commutative

-algebras in which every element is the square of another

Author(s): Osamu Hatori; Takeshi Miura
Journal: Proc. Amer. Math. Soc. 128 (2000), 1185-1189.
MSC (2000): Primary 46J10
Posted: September 30, 1999
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46J10

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: 10.1090/S0002-9939-99-05454-4
PII: S 0002-9939(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
Posted: 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
Copyright of article: Copyright 2000, American Mathematical Society

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