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BISHOP'S PROPERTY (β) AND THE CESÀRO OPERATOR

Published online by Cambridge University Press:  01 August 1998

T. L. MILLER
Affiliation:
Mississippi State University, PO Drawer MA, MS 39762, USA. E-mail: [email protected]
V. G. MILLER
Affiliation:
Mississippi State University, PO Drawer MA, MS 39762, USA. E-mail: [email protected]
R. C. SMITH
Affiliation:
Mississippi State University, PO Drawer MA, MS 39762, USA. E-mail: [email protected]
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Abstract

The paper gives a condition that is sufficient for E. Bishop's property (β), and it applies this result to the Cesàro operator on the Hardy spaces Hp, 1<p<∞. In the process, it identifies the approximate point spectrum of the Cesàro operator.

Type
Notes and Papers
Copyright
The London Mathematical Society 1998

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