GUO Xin|wei 1,WANG Yan|ping 2(1.Department of Economics,Weihai College of Shangdong University,Weihai 264209 China; 2.Department of Mathmatics,Nanchang University,Nanchang,330047 China)
Abstract:Let(S,∑,m) denote a separable σ-finite measure space,T a bounded linear operator on Lebesgue space L p(S,∑,m)(1≤p<∞).A necessary and sufficient condition under which T accepts an invariant Gauss measure is discussed.