Abstract
Consider R n — the linear space of all linear transformations on an n-dimensional space. The trace t(A) defined for A ∈ R n is a complex valued linear functional whose characteristic properties are simple and well known. Moreover τ(A) = t([A]) defines a norm on R n . An extension of these facts is being presented in the discussion which follows.
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© 1970 Springer-Verlag Berlin Heidelberg
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Schatten, R. (1970). The trace-class (τc). In: Norm Ideals of Completely Continuous Operators. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 27 . Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-35155-0_4
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DOI: https://doi.org/10.1007/978-3-662-35155-0_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-34827-7
Online ISBN: 978-3-662-35155-0
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