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DC Field | Value | Language |
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dc.contributor.author | Tonge, A | - |
dc.coverage.spatial | 13 | en |
dc.date.accessioned | 2008-08-15T08:38:00Z | - |
dc.date.available | 2008-08-15T08:38:00Z | - |
dc.date.issued | 1985 | - |
dc.identifier.citation | Maths Technical Papers (Brunel University). January 1985, pp 1-11 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/2597 | - |
dc.description.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. | en |
dc.format.extent | 191776 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Brunel University | en |
dc.relation.ispartof | Brunel University Mathematics Technical Papers collection; | - |
dc.relation.ispartofseries | ;TR/01/85 | - |
dc.title | Random Clarkson inequalities and LP version of Grothendieck' s inequality | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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TR_01_85.pdf | 187.28 kB | Adobe PDF | View/Open |
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