期刊论文详细信息
Journal of the Australian Mathematical Society
Operator-valued multiplier theorems characterizing Hilbert spaces
Wolfgang Arendt1 
[1] Shangquan Bu
关键词: primary 42A45;    42C99;    46C15;    47A56;   
DOI  :  10.1017/S1446788700013550
学科分类:数学(综合)
来源: Cambridge University Press
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【 摘 要 】

We show that the operator-valued Marcinkiewicz and Mikhlin Fourier multiplier theorem are valid if and only if the underlying Banach space is isomorphic to a Hilbert space.

【 授权许可】

Unknown   

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