Hilbert–Schmidt operator

Common card · No. 449243

In mathematics, a Hilbert–Schmidt operator, named after David Hilbert and Erhard Schmidt, is a bounded operator A : H → H {\displaystyle A\colon H\to H} that acts on a Hilbert space H {\displaystyle H} and has finite Hilbert–Schmidt norm ‖ A ‖ HS 2 = def ∑ i ∈ I ‖ A e i ‖ H 2 , {\displaystyle...