On Unsymmetric Dirichlet Forms
Joanne Elliott · Canadian Journal of Mathematics · 1973
Let F be a linear, but not necessarily closed, subspace of L2[X, dm], where (X, ,m) is a σ-finite measure space with the Borel subsets of the locally compact space X. If u and v are measureable functions, then v is called a normalized contraction of u if and Assume that F is stable under normalized contractions, that is, if u ∈ F and v is a normalized contraction of u, then v ∈ F.