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arXiv · 1502.05012

Diagonals of injective tensor products of Banach lattices with bases

Donghai Ji·Byunghoon Lee·Qingying Bu
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Abstract

In this paper, we show that four main diagonal spaces of injective tensor products are pairwise isometrically isomorphic. When E is a Banach lattice, we show that the tensor diagonal of E is a 1-unconditional basic sequence in both the n-fold injective tensor product of E and the n-fold symmetric injective tensor product of E.

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Donghai Ji, Byunghoon Lee, Qingying Bu. 2015-02-17. Diagonals of injective tensor products of Banach lattices with bases. https://arxiv.org/abs/1502.05012

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