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Compact, Hilbert-Schmidt, and Trace-Class Operators

  • Robert D. Richtmyer
Part of the Texts and Monographs in Physics book series (TMP)

Abstract

This chapter deals with several classes of bounded operators: the compact, Hilbert-Schmidt, trace-class and degenerate operators; they are related by the inclusions bounded ⊃ compact ⊃ Hilbert-Schmidt ⊃ trace-class ⊃ degenerate.

Keywords

Canonical representation of a compact operator the spectrum the Hilbert-Sehmidt norm the trace the spectra of operators with compact resolvent applications to differential and integral operators 

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Copyright information

© Springer-Verlag New York Inc. 1978

Authors and Affiliations

  • Robert D. Richtmyer
    • 1
  1. 1.Department of Physics and AstrophysicsUniversity of ColoradoBoulderUSA

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