Products of Nevanlinna-Pick kernels and operator colligations |
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Authors: | Andrew T. Tomerlin |
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Affiliation: | (1) Department of Mathematics Faculty of Science, Kanazawa University, 920-1192 Kanazawa, Japan |
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Abstract: | An example is given which clarifies the present situation of the operator norm convergence of Trotter-Kato product formula. It shows that the rate of convergence of the formula with respect to the operator norm obtained in [NZ2] is best possible. It also yields a counter-example of the operator norm convergence of the formula in another case. |
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Keywords: | 47D03 47B25 41A80 |
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