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A note on the gelfand-mazur theorem
Date Issued
01-01-1998
Author(s)
Bhatt, S. J.
Karia, D. J.
Kulkarni, S. H.
Shimpi, M. E.
Abstract
Three Gelfand-Mazur type theorems are proved. One of these provides a C*-property analogue of Zalar's recent generalizations of the EroelichIngelstam-Smiley Theorems concerning unital multiplication in Hilbert spaces; the second illustrates that the assumption in Kaplansky's 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. © 1998 American Mathematical Society.
Volume
126