Abstract
We consider here those completely continuous operators A for which the squares of the positive proper values of [A] form a convergent series. These may be interpreted as the integral operators on an abstract Hilbert space in the sense specified in the following section. The reader will do well to supplement the discussion of this chapter by consulting Hellinger and Toeplitz [1], especially for their very illuminating bibliographic account of the theory of integral equations.
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© 1970 Springer-Verlag Berlin Heidelberg
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Schatten, R. (1970). The Schmidt-class. In: Norm Ideals of Completely Continuous Operators. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 27Â . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-35155-0_3
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DOI: https://doi.org/10.1007/978-3-662-35155-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-34827-7
Online ISBN: 978-3-662-35155-0
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