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On Kadison's condition for extreme points of the unit ball in a B*-algebra

Published online by Cambridge University Press:  20 January 2009

Bertram Yood
Bertram Yood
Affiliation:
University of Oregon, Eugene, Oregon, U.S.A.
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Let B be a complex Banach algebra with an identity 1 and an involution x→x*. Kadison (1) has shown that, if B is a B*-algebra, [the set of extreme points of its unit ball coincides with the set of elements x of B for which

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 16 , Issue 3 , June 1969 , pp. 245 - 250
Copyright
Copyright © Edinburgh Mathematical Society 1969

References

REFERENCES

(1)Kadison, R. V.Isometries of operator algebras, Ann. of Math. (2) 54 (1951), 325–338.CrossRefGoogle Scholar
(2)Kato, T.Perturbation Theory for Linear Operators (Springer-Verlag, 1966).Google Scholar
(3)Miles, P.B*-aIgebra unit ball extreme points, Pacific J. Math. 14 (1964), 627–736.CrossRefGoogle Scholar
(4)Rickart, C. E., General Theory of Banach Algebras (Van Nostrand, 1960).Google Scholar
(5)Yood, B.Difference algebras of linear transformations on a Banach space, Pacific J. Math. 4 (1954), 615–636.CrossRefGoogle Scholar