A note on polynomial operator approximation
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An example is given of an operator T contained in a blockdiagonal 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 wellknown question of C. Olsen. © 1983 American Mathematical Society.
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Smith, R. R., & Ward, J. D.
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