摘要
设(S,Σ,μ)是一个可分的概率空间,T是Lp(S,Σ,μ)上的复合算子。
Let T be a composition operator induced on Lebesgue spaces L p(S,Σ,μ)(p≥2)by Tf(·)=f(h(·))where h:S→S is a nonsingular transformation.Then the subspace spanned by the supports of the invariant Borel probability measure for T concides with the subspace spanned by the unimodular eigenvectors of T.
出处
《南昌大学学报(理科版)》
CAS
1999年第1期22-25,共4页
Journal of Nanchang University(Natural Science)