Complemented copies of c_0(tau) in tensor products of L_p[0,1] - Archive ouverte HAL
Article Dans Une Revue Pacific Journal of Mathematics Année : 2019

Complemented copies of c_0(tau) in tensor products of L_p[0,1]

Résumé

Let X be a Banach space and τ an infinite cardinal. We show that if τ has uncountable cofinality, p ∈ [1, ∞) and either the Lebesgue-Bochner space L p ([0, 1], X) or the injective tensor product L_p [0, 1] ⊗_ ε X contains a complemented copy of c_0 (τ), then so does X. We show also that if p ∈ (1, ∞) and the projective tensor product L_p [0, 1] ⊗_π X contains a complemented copy of c_0 (τ), then so does X.
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Dates et versions

hal-02177785 , version 1 (20-12-2019)

Identifiants

  • HAL Id : hal-02177785 , version 1

Citer

Vinícius Morelli Cortes, Medina Galego, Christian Samuel. Complemented copies of c_0(tau) in tensor products of L_p[0,1]. Pacific Journal of Mathematics, In press. ⟨hal-02177785⟩
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