Fremlin Tensor Products of Concavifications of Banach Lattices

Vladimir G. Troitsky; Omid Zabeti

Fremlin Tensor Products of Concavifications of Banach Lattices

Functional Analysis 2013-01-07 v1

Authors: Vladimir G. Troitsky , Omid Zabeti

Abstract

Suppose that $E$ is a uniformly complete vector lattice and $p_1,..., p_n$ are positive reals. We prove that the diagonal of the Fremlin projective tensor product of $E_{(p_1)},..., E_{(p_n)}$ can be identified with $E_{(p)}$ where $p = p_1+...+p_n$ and $E_{(p)}$ stands for the $p$ -concavification of $E$ . We also provide a variant of this result for Banach lattices. This extends the main result of [BBPTT].

Keywords

fremlin tensor product banach lattices vector lattices concavification projective tensor product diagonal uniformly complete

Cite

@article{arxiv.1301.0749,
  title  = {Fremlin Tensor Products of Concavifications of Banach Lattices},
  author = {Vladimir G. Troitsky and Omid Zabeti},
  journal= {arXiv preprint arXiv:1301.0749},
  year   = {2013}
}

Comments

10 pages

Fremlin Tensor Products of Concavifications of Banach Lattices

Abstract

Keywords

Cite

Comments

Related papers