sentences:  Integration by parts operator
  
  In mathematics, an integration by parts operator is a linear operator used to formulate integration by parts formulae; the most interesting examples of integration by parts operators occur in infinite-dimensional settings and find uses in stochastic analysis and its applications.Let "E" be a Banach space such that both "E" and its continuous dual space "E"∗ are separable spaces; let "μ" be a Borel measure on "E".