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Journal of the London Mathematical Society 1998 58(1):197-207; doi:10.1112/S0024610798006279
© 1998 by London Mathematical Society
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© The London Mathematical Society

Bishop's Property (ß) and the Cesàro Operator

T. L. Miller, V. G. Miller and R. C. Smith

Mississippi State University PO Drawer MA, MS 39762, USA. E-mail: miller{at}math.msstate.edu
Mississippi State University PO Drawer MA, MS 39762, USA. E-mail: vivien{at}math.msstate.edu
Mississippi State University PO Drawer MA, MS 39762, USA. E-mail: smith{at}math.msstate.edu

Received 17 July 1995. Revision received 16 January 1996.

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


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