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

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

1999-04-29

arxiv.org/abs/math/9904165v1

Mathematics

Functional Analysis

12 pages

Scientific paper

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.

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