• Title, Summary, Keyword: joint reducing subspace

Search Result 1, Processing Time 0.038 seconds

MULTIPLICATION OPERATORS ON BERGMAN SPACES OVER POLYDISKS ASSOCIATED WITH INTEGER MATRIX

  • Dan, Hui;Huang, Hansong
    • Bulletin of the Korean Mathematical Society
    • /
    • v.55 no.1
    • /
    • pp.41-50
    • /
    • 2018
  • This paper mainly considers a tuple of multiplication operators on Bergman spaces over polydisks which essentially arise from a matrix, their joint reducing subspaces and associated von Neumann algebras. It is shown that there is an interesting link of the non-triviality for such von Neumann algebras with the determinant of the matrix. A complete characterization of their abelian property is given under a more general setting.