A Note on Quasidiagonal Operators

  • Dan Voiculescu
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 32)

Abstract

Let H be a separable complex Hilbert space of infinite dimension and let L(H) and K(H) denote the bounded and respectively the compact operators on H. An operator T ∈ L(H) is called quasidiagonal ([5]) if T = D+K where K ∈ K(H) and D is block-diagonal, i.e. D = D1 ⊕ D2 ⊕ ... for some decomposition H = H 1 ⊕ H 2 ⊕ ... where dim H j < ∞ (j = 1,2, ...).

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Copyright information

© Springer Basel AG 1988

Authors and Affiliations

  • Dan Voiculescu
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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