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Weak Contractions

  • Béla Sz.-Nagy
  • Hari BercoviciEmail author
  • Ciprian Foias
  • László Kérchy
Chapter
  • 1.9k Downloads
Part of the Universitext book series (UTX)

Abstract

According to the usual definition, a self-adjoint operator A on a Hilbert space \(\mathfrak{U}\), \(A \geq 0\), is said to be of finite trace if A is compact (i.e., completely continuous) and the sum of its eigenvalues \(\neq 0\) (each counted with the respective multiplicity) is finite. This sum is the trace of A and is denoted by tr(A).

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Béla Sz.-Nagy
  • Hari Bercovici
    • 1
    Email author
  • Ciprian Foias
    • 2
  • László Kérchy
    • 3
  1. 1.Mathematics DepartmentIndiana UniversityBloomingtonUSA
  2. 2.Mathematics DepartmentTexas A & M UniversityCollege StationUSA
  3. 3.Bolyai InstituteSzeged UniversitySzegedHungary

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