Schatten Norm

A Schatten Norm is a p-norm that ...

• • …
• Counter-Example(s):
  • a Trace Norm.
• See: Hilbert–Schmidt Operator, Functional Analysis, Trace Class, Norm (Mathematics).

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References

2016

• (Wikipedia, 2016) ⇒ http://wikipedia.org/wiki/Schatten_norm Retrieved:2016-2-8.
  • In mathematics, specifically functional analysis, the Schatten norm (or Schatten–von-Neumann norm)

    arises as a generalization of p-integrability similar to the trace class norm and the Hilbert–Schmidt norm.

2013

• http://en.wikipedia.org/wiki/Singular_value
  • … For example, the Ky Fan-k-norm is the sum of first k singular values, the trace norm is the sum of all singular values, and the Schatten norm is the pth root of the sum of the pth powers of the singular values. Note that each norm is defined only on a special class of operators, hence s-numbers are useful in classifying different operators.

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