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arXiv · 2503.00864

Hilbert space factor of metric spaces

Thomas Foertsch·Alexander Lytchak·Elefterios Soultanis
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Abstract

We prove that any complete metric space has a unique decomposition as a direct product of a possibly finite or zero-dimensional Hilbert space and a space that does not split off lines.

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Thomas Foertsch, Alexander Lytchak, Elefterios Soultanis. 2025-03-02. Hilbert space factor of metric spaces. https://arxiv.org/abs/2503.00864

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