A note on polynomial operator approximation
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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.
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Smith, R. R., & Ward, J. D.
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