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Finite Hilbert transforms and compactness

Published online by Cambridge University Press:  17 April 2009

Susumu Okada
Susumu Okada
Affiliation:
Department of Mathematics, University of Tasmania, GPO Box 252C Hobart Tas 7001
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Abstract

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It is shown that for the finite Hilbert transform Tp on the Banach space Lp(]–1, 1[), 1 < p < ∞, the linear operator is not strictly singular whenever n is a positive integer.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 46 , Issue 3 , December 1992 , pp. 475 - 478
Copyright
Copyright © Australian Mathematical Society 1992

References

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