Concepts of convergence for a quantum law of large numbers |
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Authors: | Wilhelm Ochs |
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Institution: | Fachbereich Physik der Universität München, München, F.R.G. |
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Abstract: | We introduce the notion of uniform convergence of an operator sequence relative to a state operator, and we compare it with the notion of almost everywhere convergence, introduced by Gudder. We show that a sequence (Mn) of mean-value operators defined on the infinite tensor product , converges relative uniformly to if and only if it converges almost everywhere to . |
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Keywords: | |
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