Search results for: SCHATTEN CLASSES

• A Noether theorem for stochastic operators on Schatten classes

  Publication

  • W. Bartoszek
  • K. Bartoszek

  - JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS - Year 2017

  We prove that a stochastic (Markov) operator S acting on a Schatten class C_1 satisfies the Noether condition S'(A) = A and S'(A^2) = A^2, where A is a Hermitian bounded linear operator on a complex Hilbert space H, if and only if, S(E(G)XE(G)) = E(G)S(X)E(G) holds true for every Borel subset G of the real line R, where E(G) denotes the orthogonal projection coming from the spectral resolution of A. Similar results are obtained...

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