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arXiv · 1010.2243

Definable Operators on Hilbert Spaces

Isaac Goldbring
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Abstract

Let H be an infinite-dimensional (real or complex) Hilbert space, viewed as a metric structure in its natural signature. We characterize the definable linear operators on H as exactly the "scalar plus compact" operators.

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Isaac Goldbring. 2010-10-11. Definable Operators on Hilbert Spaces. https://arxiv.org/abs/1010.2243

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