On a characterization of the maximal ideal spaces of commutative $C^*$-algebras in which every element is the square of another
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- by Osamu Hatori and Takeshi Miura PDF
- Proc. Amer. Math. Soc. 128 (2000), 1185-1189 Request permission
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.References
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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
- MR Author ID: 199931
- Takeshi Miura
- Affiliation: Department of Mathematical Sciences, Graduate School of Science and Technology, Niigata University, 8050 Ikarashi 2-no-chou, Niigata 950-21, Japan
- MR Author ID: 648293
- 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
- Communicated by: David R. Larson
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1185-1189
- MSC (2000): Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-99-05454-4
- MathSciNet review: 1690991
Dedicated: Dedicated to Professor Junzo Wada on his seventieth birthday