The ell-p norm of C-I, where C is the Cesaro operator

Jameson, Graham (2021) The ell-p norm of C-I, where C is the Cesaro operator. Mathematical Inequalities and Applications, 24 (2). pp. 551-557. ISSN 1331-4343

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Abstract

For the Cesaro operator C, it is known that ||C-I||_2 = 1. Here we prove that ||C-I||_4 < 3^(1/4) and ||C^T-I||_4 = 3. Bounds for intermediate values of p are derived from the Riesz-Thorin interpolation theorem. An estimate for lower bounds is obtained.

Item Type:
Journal Article
Journal or Publication Title:
Mathematical Inequalities and Applications
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
152962
Deposited By:
Deposited On:
22 Mar 2021 11:25
Refereed?:
Yes
Published?:
Published
Last Modified:
21 May 2021 10:20