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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/2597

Title: Random Clarkson inequalities and LP version of Grothendieck' s inequality
Authors: Tonge, A
Publication Date: 1985
Publisher: Brunel University
Citation: Maths Technical Papers (Brunel University). January 1985, pp 1-11
Series/Report no.: ;TR/01/85
Abstract: In a recent paper Kato [3] used the Littlewood matrices to generalise Clarkson's inequalities. Our first aim is to indicate how Kato's result can be deduced from a neglected version of the Hausdorff-Young inequality which was proved by Wells and Williams [11]. We next establish "random Clarkson inequalities".. These show that the expected behaviour of matrices whose coefficients are random ±1's is, as one might expect, the same as the behaviour that Kato observed in the Littlewood matrices. Finally we show how sharp LP versions of Grothendieck's inequality can be obtained by combining a Kato-like result with a theorem of Bennett [1]on Schur multipliers.
URI: http://bura.brunel.ac.uk/handle/2438/2597
Appears in Collections:Mathematics Technical Papers

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