sentences:  Schatten norm
  
  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.Let formula_1, formula_2 be Hilbert spaces, and formula_3 a (linear) bounded operator from 
  formula_1 to formula_2.