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Abstract

Integral operators need not be compact, and compact operators need not be integral. These are negative statements; can anything positive be said? Yes, there is something positive and useful that can be said, at the cost, to be sure, of some loss of generality, but the gain is well worth the price.

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© 1978 Springer-Verlag Berlin Heidelberg

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Halmos, P.R., Sunder, V.S. (1978). <2, 1> Compactness. In: Bounded Integral Operators on L 2 Spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67016-9_13

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  • DOI: https://doi.org/10.1007/978-3-642-67016-9_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-67018-3

  • Online ISBN: 978-3-642-67016-9

  • eBook Packages: Springer Book Archive

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