The first Szego limit theorem for non-selfadjoint operators in the Folner algebra

• Autores: Albrecht Böttcher
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 97, Nº 1, 2005, págs. 115-126
• Idioma: inglés
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• Resumen

  • We determine the first order asymptotics of the trace of f(PnUPn) and the determinant detPnUPn for operators U belonging to the Følner algebra associated with the sequence {Pn} and satisfying an "index zero" condition. We present three different proofs of the main result in the case where U is a normal operator.