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SECOND QUANTIZATION AND THE L<sup>p</sup>-SPECTRUM OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS

SECOND QUANTIZATION AND THE L<sup>p</sup>-SPECTRUM OF NONSYMMETRIC ORNSTEIN–UHLENBECK OPERATORS

The spectra of the second quantization and the symmetric second quantization of a strict Hilbert space contraction are computed explicitly and shown to coincide. As an application, we compute the spectrum of the nonsymmetric Ornstein–Uhlenbeck operator L associated with the infinite-dimensional Langevin equation [Formula: see text] where A is the …