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Commutators in Banach algebras

Published online by Cambridge University Press:  20 January 2009

Vlastimil Pták
Vlastimil Pták
Affiliation:
Czechoslovak Academy of Sciences, Institute of Mathematics, 115-67 Praha 1, Czechoslovakia
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In a recent paper (6) the present author has shown that, for an element a of a Banach algebra A, the condition

for all x∈A and some constant α is equivalent to [x, a]∈Rad a for all x∈A; it turns out that α may be replaced by |α|σ It is the purpose of the present note to investigate a related condition

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 3 , October 1979 , pp. 207 - 211
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

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