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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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