Definable Operators on Hilbert Spaces

Isaac Goldbring

doi:10.1215/00294527-1715689

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Home > Journals > Notre Dame J. Formal Logic > Volume 53 > Issue 2 > Article

2012 Definable Operators on Hilbert Spaces

Isaac Goldbring

Notre Dame J. Formal Logic 53(2): 193-201 (2012). DOI: 10.1215/00294527-1715689

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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.