A note on the Gelfand-Mazur Theorem

Author:

Bhatt S.,Karia D.,Kulkarni S.,Shimpi M.

Abstract

Three Gelfand-Mazur type theorems are proved. One of these provides a C C^* -property analogue of Zalar’s recent generalizations of the Froelich-Ingelstam-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 C^* -norm; whereas the third provides a real analogue of a result due to Srinivasan.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Some remarks on Hermitian Banach star algebras;Bhatt, S. J.;Indian J. Pure Appl. Math.,1995

2. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 80;Bonsall, Frank F.,1973

3. Unital multiplications on a Hilbert space;Froelich, John;Proc. Amer. Math. Soc.,1993

4. Shiva Mathematics Series;Goodearl, K. R.,1982

5. A new simple proof of the Gel′fand-Mazur-Kaplansky theorem;Cabrera García, Miguel;Proc. Amer. Math. Soc.,1995

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