Another identity relating to Hardy's inequality for ℓ2

Jameson, Graham (2022) Another identity relating to Hardy's inequality for ℓ2. Mathematical Inequalities and Applications, 25 (4): 25-70. pp. 1143-1145. ISSN 1331-4343

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Abstract

Let C denote the Cesàro operator on ℓ2, I the identity and ∥x∥ the ℓ -norm of x. Complementing an earlier result, an exact expression is derived for ∥(C − I)x∥2 . Implications include the inequalities 1/√2 ∥x∥ ≼ ∥(C − I)x∥ ≼ ∥x∥ and ∥(C − I)x∥ ≽ ∥CT − I)x∥.

Item Type:
Journal Article
Journal or Publication Title:
Mathematical Inequalities and Applications
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
?? cesarohardyinequalityapplied mathematicsgeneral mathematicsmathematics(all) ??
ID Code:
177355
Deposited By:
Deposited On:
11 Oct 2022 12:00
Refereed?:
Yes
Published?:
Published
Last Modified:
16 Jul 2024 11:55