Definable Operators on Hilbert Spaces

Details Definable Operators on Hilbert Spaces Definable Operators on Hilbert Spaces

2010-10-11

arxiv.org/abs/1010.2243v1

Mathematics

Logic

10 pages

Scientific paper

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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