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

Colloquium Mathematicae (1997)

- Volume: 74, Issue: 1, page 99-100
- ISSN: 0010-1354

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topBerntzen, Rainer. "Extreme points of the closed unit ball in C*-algebras." Colloquium Mathematicae 74.1 (1997): 99-100. <http://eudml.org/doc/210505>.

@article{Berntzen1997,

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.},

author = {Berntzen, Rainer},

journal = {Colloquium Mathematicae},

keywords = {extreme points of the closed unit ball; -algebras; approximation by invertible elements},

language = {eng},

number = {1},

pages = {99-100},

title = {Extreme points of the closed unit ball in C*-algebras},

url = {http://eudml.org/doc/210505},

volume = {74},

year = {1997},

}

TY - JOUR

AU - Berntzen, Rainer

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

JO - Colloquium Mathematicae

PY - 1997

VL - 74

IS - 1

SP - 99

EP - 100

AB - 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.

LA - eng

KW - extreme points of the closed unit ball; -algebras; approximation by invertible elements

UR - http://eudml.org/doc/210505

ER -

## References

top- [Kad] R. V. Kadison, Isometries of operator algebras, Ann. of Math. 54 (1951), 325-338. Zbl0045.06201
- [Pe1] G. K. Pedersen, C*-Algebras and Their Automorphism Groups, London Math. Soc. Monographs 13, Academic Press, London, 1979.
- [Pe2] G. K. Pedersen, The λ-function in operator algebras, J. Operator Theory 26 (1991), 345-382.

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