刊名:Journal of Mathematical Analysis and Applications
出版年:2016
出版时间:15 February 2016
年:2016
卷:434
期:2
页码:1762-1778
全文大小:474 K
文摘
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.