Subspaces and Quotients of Banach Symmetric Spaces
Michael Klotz

TL;DR
This paper establishes a precise criterion for when quotients of Banach symmetric spaces can themselves be endowed with symmetric space structures, exploring the related reflection subspaces and Lie triple systems.
Contribution
It provides a necessary and sufficient condition for symmetric space structures on quotients of Banach symmetric spaces, advancing understanding of their subspace and quotient structures.
Findings
Derived a criterion for symmetric space structures on quotients
Analyzed reflection subspaces and their Lie triple systems
Enhanced understanding of subspace and quotient structures in Banach symmetric spaces
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Holomorphic and Operator Theory
