Complex Vector Lattices Via Functional Completions

Autor:	Buskes, Gerard, Schwanke, Chris
Rok vydání:	2014
Předmět:	Mathematics - Functional Analysis 46A40 46B40 4GG25
Druh dokumentu:	Working Paper
Popis:	We show that the Fremlin tensor product $C(X)\bar{\otimes}C(Y)$ 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1410.5881 Zobrazit plný text záznamu View this record from Arxiv