On local automorphisms of group algebras of compact groups
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- by Lajos Molnár and Borut Zalar PDF
- Proc. Amer. Math. Soc. 128 (2000), 93-99 Request permission
Abstract:
We show that with few exceptions every local isometric automorphism of the group algebra $L^p(G)$ of a compact metric group $G$ is an isometric automorphism.References
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Additional Information
- Lajos Molnár
- Affiliation: Institute of Mathematics, Lajos Kossuth University, 4010 Debrecen, P.O. Box 12, Hungary
- Email: molnarl@math.klte.hu
- Borut Zalar
- Affiliation: Department of Basic Sciences, Faculty of Civil Engineering, University of Maribor, Smetanova 17, 2000 Maribor, Slovenia
- Email: borut.zalar@uni-mb.si
- Received by editor(s): March 4, 1998
- Published electronically: June 30, 1999
- Additional Notes: This research was supported by the Joint Hungarian-Slovene research project supported by OMFB in Hungary and the Ministry of Science and Technology in Slovenia, Reg. No. SLO-2/96. The first author was supported in part by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. T–016846 F–019322, and by a grant from the Ministry of Education, Hungary, Reg. No. FKFP 0304/1997. The second author was supported in part by a grant from the Ministry of Science and Technology, Slovenia
- Communicated by: David R. Larson
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 93-99
- MSC (1991): Primary 43A15, 43A22, 46H99
- DOI: https://doi.org/10.1090/S0002-9939-99-05108-4
- MathSciNet review: 1637412