A complex interpolation formula for tensor products of vector-valued Banach function spaces

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We prove a complex interpolation formula for the injective tensor product of vector-valued Banach function spaces satisfying certain geometric assumptions. This result unifies results of Kouba, and moreover, our approach offers an alternate proof of Kouba's interpolation formula for scalar-valued Banach function spaces.
12 pages

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Functional Analysis, 46M35 (primary), 46M05,46E40,46B70 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/78424

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904165
 http://arxiv.org/abs/math/9904165

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arXiv