Injectivity and projectivity in $p$-multinormed spaces
Functional Analysis
2017-07-25 v1
Abstract
We find large classes of injective and projective -multinormed spaces. In fact, these classes are universal, in the sense that every -multinormed space embeds into (is a quotient of) an injective (resp. projective) -multinormed space. As a consequence, we show that any -multinormed space has a canonical representation as a subspace of a quotient of a Banach lattice.
Cite
@article{arxiv.1707.07640,
title = {Injectivity and projectivity in $p$-multinormed spaces},
author = {Timur Oikhberg},
journal= {arXiv preprint arXiv:1707.07640},
year = {2017}
}