Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (1): 156-160.

• Scientific • Previous Articles     Next Articles

Properties of product of composition operators in L2-spaces

ZHOU Ze-hua1, LU Hui-qiang1, ZHOU Hang2   

  1. 1. School of Mathematics, Tianjin University, Tianjin 300350, China;
    2. School of Science, Tianjin Chengjian University, Tianjin 300384, China
  • Received:2020-12-08 Online:2022-02-28 Published:2022-03-09

Abstract: Let (X,A,μ) be a σ-finite measure space. A transformation ø:X→X is non-singular if μ°ø-1 is absolutely continuous with respect to μ. For this non-singular transformation, the composition operatorCø:D(Cø)→L2) is defined by Cøf=f°ø,f∈D(Cø). Properties of product of composition operators Cøn···Cø1in L2-Spaces are investigated.

Key words: product, composition operators, L2-spaces

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