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Generalized Clarkson's Inequalities and the Norms of the Littlewood Matrices

✍ Scribed by Mikio Kato

Publisher: John Wiley and Sons
Year: 1983
Tongue: English
Weight: 245 KB
Volume: 114
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.19831140111

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✦ Synopsis

By using the LITTLEWOOD matrices B g n we generalize CLAEKSON'S inequelitiee, or equivalently, we determine the norms IIAzn : Z,2"(Lp) + Zr(Lp)ll completely. The result is compared with the norms IIAp : 1,2" -+ Zrl l , which are calculated implicitly in PIETSOE [el.

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