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math.LO2010
Definable Operators on Hilbert Spaces
Isaac Goldbring
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 exac…
math.LO2010
Definable Functions in Urysohn's Metric Space
Isaac Goldbring
Let U denote the Urysohn sphere and consider U as a metric structure in the empty continuous signature. We prove that every definable function from U^n to U is either a projection…