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BISHOP'S PROPERTY (β) AND THE CESÀRO OPERATOR

Published online by Cambridge University Press:  01 August 1998

T. L. MILLER ,
V. G. MILLER  and
R. C. SMITH
T. L. MILLER
Affiliation:
Mississippi State University, PO Drawer MA, MS 39762, USA. E-mail: miller@math.msstate.edu
V. G. MILLER
Affiliation:
Mississippi State University, PO Drawer MA, MS 39762, USA. E-mail: vivien@math.msstate.edu
R. C. SMITH
Affiliation:
Mississippi State University, PO Drawer MA, MS 39762, USA. E-mail: smith@math.msstate.edu
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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
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 197 - 207
Copyright
The London Mathematical Society 1998

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