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Lipschitz continuity of spectral measures

Published online by Cambridge University Press:  17 April 2009

Werner J. Ricker
Werner J. Ricker
Affiliation:
School of MathematicsUniversity of New South WalesSydney NSW 2052, Australia
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Abstract

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A characterisation is given of all (finitely additive) spectral measures in a Banach space (and defined on an algebra of sets) which satisfy a Lipschitz condition. This also corrects (slightly) an analogous result in the more specialised setting of resolutions of the identity of scalar-type spectral operators (due to C.A. McCarthy).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 369 - 373
Copyright
Copyright © Australian Mathematical Society 1999

References

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