%0 Journal Article %T Functional analytic background for a theory of infinite-dimensional reductive Lie groups %A Daniel Beltita %J Mathematics %D 2007 %I arXiv %X Motivated by the interesting and yet scattered developments in representation theory of Banach-Lie groups, we discuss several functional analytic issues which should underlie the notion of infinite-dimensional reductive Lie group: norm ideals, triangular integrals, operator factorizations, and amenability. %U http://arxiv.org/abs/0705.2918v1