Compact, Hilbert-Schmidt, and Trace-Class Operators
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.
KeywordsCanonical 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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