Iwasawa decompositions of some infinite-dimensional Lie groups

2007/01/15 by Daniel Beltiţă, Beltita, Daniel · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.math/0701404

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

Citations

• Analyticity in Operator Algebras

Cited by

• Banach Poisson-Lie groups, Lax equations and the AKS theorem in infinite dimensions

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