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arXiv · 2503.20140

The Schr\"oder-Bernstein property for operators on Hilbert spaces

Nicolás Cuervo Ovalle·Isaac Goldbring·Netanel Levi
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Abstract

We establish that the complete theory of a Hilbert space equipped with a normal operator has the Schr\"oder-Bernstein property. This answers a question of Argoty, Berenstein, and the first-named author. We also prove an analogous statement for unbounded self-adjoint operators.

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BibTeXRIS

Nicolás Cuervo Ovalle, Isaac Goldbring, Netanel Levi. 2025-03-26. The Schr\"oder-Bernstein property for operators on Hilbert spaces. https://arxiv.org/abs/2503.20140

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