A Strongly Diagonal Power of Algebraic Order Bounded Disjointness Preserving Operators

نویسندگان

  • KARIM BOULABIAR
  • GLEB SIROTKIN
چکیده

An order bounded disjointness preserving operator T on an Archimedean vector lattice is algebraic if and only if the restriction of Tn! to the vector sublattice generated by the range of Tm is strongly diagonal, where n is the degree of the minimal polynomial of T and m is its ‘valuation’.

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تاریخ انتشار 2003