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Trace Class: Nuclear Operator, Compact Operator, Trace (Linear Algebra), Banach Space, Hilbert Space -

English
2026-03-17
€149.47 €213.53

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High Quality Content by WIKIPEDIA articles! In mathematics, a trace class operator is a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis. Trace class operators are essentially the same as nuclear operators, though many authors reserve the term "trace class operator" for the special case of nuclear operators on Hilbert spaces, and reserve ... Full description

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High Quality Content by WIKIPEDIA articles! In mathematics, a trace class operator is a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis. Trace class operators are essentially the same as nuclear operators, though many authors reserve the term "trace class operator" for the special case of nuclear operators on Hilbert spaces, and reserve nuclear (=trace class) operators for more general Banach spaces. Recall that the dual of l1(N) is l¿(N). In the present context, the dual of trace-class operators C1 is the bounded operators B(H). More precisely, the set C1 is a two-sided ideal in B(H). So given any operator T in B(H), we may define a continuous linear functional ¿T on C1 by ¿T(A)=Tr(AT).

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131162657
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€149.47 €213.53