A note on the Gelfand-Mazur Theorem
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- by S. J. Bhatt, D. J. Karia, S. H. Kulkarni and M. E. Shimpi PDF
- Proc. Amer. Math. Soc. 126 (1998), 2999-3005 Request permission
Abstract:
Three Gelfand-Mazur type theorems are proved. One of these provides a $C^*$-property analogue of Zalarâs recent generalizations of the Froelich-Ingelstam-Smiley Theorems concerning unital multiplication in Hilbert spaces; the second illustrates that the assumption in Kaplanskyâs version of the Gelfand-Mazur Theorem can be weakened in the presence of a $C^*$-norm; whereas the third provides a real analogue of a result due to Srinivasan.References
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Additional Information
- S. J. Bhatt
- Affiliation: Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388 120, Gujarat, India
- D. J. Karia
- MR Author ID: 307588
- ORCID: 0000-0003-3189-4441
- S. H. Kulkarni
- Affiliation: Department of Mathematics, Indian Institute of Technology, Madras, 600 036, India
- M. E. Shimpi
- Affiliation: Department of Mathematics, BVM Engineering College, Vallabh Vidyanagar-388 120, Gujarat, India
- Received by editor(s): September 23, 1996
- Received by editor(s) in revised form: March 12, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2999-3005
- MSC (1991): Primary 46K15, 46H20
- DOI: https://doi.org/10.1090/S0002-9939-98-04658-9
- MathSciNet review: 1476120