Complex Vector Lattices Via Functional Completions
Functional Analysis
2014-10-23 v1
Abstract
We show that the Fremlin tensor product is not square mean complete when X and Y are uncountable metrizable compact spaces. This motivates the definition of complexification of Archimedean vector lattices, the Fremlin tensor product of Archimedean complex vector lattices, and a theory of powers of Archimedean complex vector lattices.
Keywords
Cite
@article{arxiv.1410.5881,
title = {Complex Vector Lattices Via Functional Completions},
author = {Gerard Buskes and Chris Schwanke},
journal= {arXiv preprint arXiv:1410.5881},
year = {2014}
}