Subspaces and Quotients of Banach Symmetric Spaces

2010/10/21 by Michael Klotz, Klotz, Michael · 1 citation
Mathematics · #22E65 #53C35 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory #math.DG #msc:22E65 #msc:53C35

paper · pdf · doi:10.48550/arxiv.1010.4427

23 pages; minor corrections

openalex publication_date 2010/10/21 · arxiv created 2011/02/11 · arxiv updated 2011/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive a necessary and sufficient condition for the existence of symmetric space structures on quotients of Banach symmetric spaces. Along the way, we investigate the different kinds of reflection subspaces and their Lie triple systems.

Citations

• Banach Symmetric Spaces
• On the product of semi-groups of operators

Cited by

• An Integrability Criterion for Banach-Lie Triple Systems

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