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ArticleOriginal scientific text

Title

Extreme points of the closed unit ball in C*-algebras

Authors 1

Affiliations

  1. Mathem. Institut der WWU Münster, Einsteinstr. 62, 48149 Münster, Germany

Abstract

In this short note we give a short and elementary proof of a characterization of those extreme points of the closed unit ball in C*-algebras which are unitary. The result was originally proved by G. K. Pedersen using some methods from the theory of approximation by invertible elements.

Bibliography

  1. [Kad] R. V. Kadison, Isometries of operator algebras, Ann. of Math. 54 (1951), 325-338.
  2. [Pe1] G. K. Pedersen, C*-Algebras and Their Automorphism Groups, London Math. Soc. Monographs 13, Academic Press, London, 1979.
  3. [Pe2] G. K. Pedersen, The λ-function in operator algebras, J. Operator Theory 26 (1991), 345-382.
Colloquium Mathematicum
1997/74/1
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Pages:
99-100
Main language of publication
English
Received
1996-12-02
Published
1997
Exact and natural sciences