A note on polynomial operator approximation Academic Article uri icon

abstract

  • An example is given of an operator T contained in a block-diagonal algebra of operators a, an ideal J C Ii and an infinite set of polynomials p f or which there is a K Є J satisfying ||p(T+K) ||Q=||p(T + K) ||a/J for any finite subset of c.'Pbut for which there is no K G J satisfying ||p(T + K) ||lj= || p(T + K) ||á/J for all pЄP This sheds some light on a well-known question of C. Olsen. © 1983 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

  • March 1983