Definable Operators on Hilbert Spaces

Notre Dame Journal of Formal Logic 53 (2):193-201 (2012)
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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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10.1215/00294527-1715689

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Definable closure in randomizations.Uri Andrews, Isaac Goldbring & H. Jerome Keisler - 2015 - Annals of Pure and Applied Logic 166 (3):325-341.

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