Operator-valued multiplier theorems characterizing Hilbert spaces

• Autores: Wolfgang Arendt , Shangquan Bu
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 77, Nº 2, 2004, págs. 175-184
• Idioma: inglés
• DOI: 10.1017/s1446788700013550
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• Resumen

  • 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.