A note on polynomial operator approximation Academic Article uri icon


  • An example is given of an operator T T contained in a block-diagonal algebra of operators A mathcal {A} , an ideal J A J subset mathcal {A} and an infinite set of polynomials P mathcal {P} for which there is a K J K in J satisfying p ( T + K ) A = p ( T + K ) A / J {left | {p(T + K)}
    ight |_{mathcal {A}}} = {left | {p(T + K)}
    ight |_{mathcal {A}/J}}
    for any finite subset of P mathcal {P} but for which there is no K J K in J satisfying p

published proceedings

  • Proceedings of the American Mathematical Society

author list (cited authors)

  • Smith, R. R., & Ward, J. D.

citation count

  • 1

complete list of authors

  • Smith, RR||Ward, JD

publication date

  • January 1983