Littlewood's 4/3 inequality
id:
littlewood-s-4-3-inequality-274-6892395
title:
Littlewood's 4/3 inequality
text:
In mathematical analysis, Littlewood's 4/3 inequality, named after John Edensor Littlewood, is an inequality that holds for every complex-valued bilinear form defined on c 0 , the Banach space of scalar sequences that converge to zero. Precisely, let B : c 0 × c 0 → C or R be a bilinear form. Then the following holds: where The exponent 4/3 is optimal, i.e., cannot be improved by a smaller exponent. It is also known that for real scalars the aforementioned constant is sharp.
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Littlewood%27s_4/3_inequality
date created:
date modified:
2023-06-21T16:44:12Z
main entity:
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13
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