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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78424We 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 pagesFunctional Analysis46M35 (primary), 46M05,46E40,46B70 (secondary)A complex interpolation formula for tensor products of vector-valued Banach function spacestext