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Iwasawa decompositions of some infinite-dimensional Lie groups

Daniel Beltita
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Abstract

We set up an abstract framework that allows the investigation of Iwasawa decompositions for involutive infinite-dimensional Lie groups modeled on Banach spaces. As an application, we construct Iwasawa decompositions for classical real or complex Banach-Lie groups associated with the Schatten ideals ${\mathfrak S}_p({\mathcal H})$ on a complex separable Hilbert space ${\mathcal H}$ if $1<p<\infty$.

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Daniel Beltita. 2007-01-15. Iwasawa decompositions of some infinite-dimensional Lie groups. https://arxiv.org/abs/math/0701404

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