Abstract
In this chapter, we deal with norm ideals (classes) of compact operators on a Hilbert space. After a rather standard presentation of compact operators, we introduce the von Neumann-Schatten ideals and discuss their properties making essential use of the notion of singular values. The following section is devoted to a detailed discussion of norm convergence theorems in these ideals.
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Zagrebnov, V.A. (2019). Classes of compact operators. In: Gibbs Semigroups. Operator Theory: Advances and Applications, vol 273. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-18877-1_2
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DOI: https://doi.org/10.1007/978-3-030-18877-1_2
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-18876-4
Online ISBN: 978-3-030-18877-1
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