Abstract
Consider ℜ n — the linear space of all linear transformations on an n-dimensional space. The trace t(A) defined for A ϵ 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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© 1960 Springer-Verlag OHG. Berlin · Göttingen · Heidelberg
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Schatten, R. (1960). The trace-class (τ c). In: Norm Ideals of Completely Continuous Operators. Ergebnisse der Mathematik und Ihrer Grenzgebiete, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87652-3_4
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DOI: https://doi.org/10.1007/978-3-642-87652-3_4
Publisher Name: Springer, Berlin, Heidelberg
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