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Compact, Hilbert-Schmidt, and Trace-Class Operators

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Principles of Advanced Mathematical Physics

Part of the book series: Texts and Monographs in Physics ((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.

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© 1978 Springer-Verlag New York Inc.

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Richtmyer, R.D. (1978). Compact, Hilbert-Schmidt, and Trace-Class Operators. In: Principles of Advanced Mathematical Physics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46378-5_12

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  • DOI: https://doi.org/10.1007/978-3-642-46378-5_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-46380-8

  • Online ISBN: 978-3-642-46378-5

  • eBook Packages: Springer Book Archive

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