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J. Aust. Math. Soc.
77 (2004), 175-184 | ||||||
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Operator-valued multiplier theorems characterizing Hilbert spaces
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| Abstract | ||||||
| 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.
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