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- Schatten_class_operator abstract "In mathematics, specifically functional analysis, a pth Schatten-class operator is a bounded linear operator on a Hilbert space with finite pth Schatten norm. The space of pth Schatten-class operators is a Banach space with respect to the Schatten norm.Via polar decomposition, one can prove that the space of pth Schatten class operators is an ideal in B(H). Furthermore, the Schatten norm satisfies a type of Hölder inequality: If we denote by the Banach space of compact operators on H with respect to the operator norm, the above Hölder-type inequality even holds for . From this it follows that , is a well-defined contraction. (Here the prime denotes (topological) dual.)Observe that the 2nd Schatten class is in fact the Hilbert space of Hilbert–Schmidt operators. Moreover, the 1st Schatten class is the space of trace class operators.".
- Schatten_class_operator wikiPageID "10698304".
- Schatten_class_operator wikiPageRevisionID "544771949".
- Schatten_class_operator hasPhotoCollection Schatten_class_operator.
- Schatten_class_operator subject Category:Operator_theory.
- Schatten_class_operator comment "In mathematics, specifically functional analysis, a pth Schatten-class operator is a bounded linear operator on a Hilbert space with finite pth Schatten norm. The space of pth Schatten-class operators is a Banach space with respect to the Schatten norm.Via polar decomposition, one can prove that the space of pth Schatten class operators is an ideal in B(H).".
- Schatten_class_operator label "Schatten class operator".
- Schatten_class_operator label "Schatten-Klasse".
- Schatten_class_operator label "シャッテンクラス作用素".
- Schatten_class_operator sameAs Schatten-Klasse.
- Schatten_class_operator sameAs シャッテンクラス作用素.
- Schatten_class_operator sameAs m.02qmkst.
- Schatten_class_operator sameAs Q2231600.
- Schatten_class_operator sameAs Q2231600.
- Schatten_class_operator wasDerivedFrom Schatten_class_operator?oldid=544771949.
- Schatten_class_operator isPrimaryTopicOf Schatten_class_operator.