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Strong continuity of
operator functions
Richard Vincent Kadison |
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Vol. 26 (1968), No. 1, 121–129
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Abstract |
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The complex-valued functions defined on a subset S of the plane such that (S−− S)−∩ S is empty which give strong-operator continuous mappings from the set of normal operators on a Hilbert space with spectra in S into the set of all normal operators are characterized as those which are continuous on S, bounded on bounded subsets of S and O(z) (Theorem 4.2). In the process of proving this result, it is shown that the adjoint operation is strong-operator continuous on the set of normal operators (Theorem 4.1). |
Mathematical Subject Classification
Primary: 46.65
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Milestones
Received: 26 May 1967
Published: 1 July 1968
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Authors |
| Richard Vincent Kadison | |
| Mathematics Department University of Pennsylvania 209 South 33rd Street Philadelphia PA 19104-6395 United States |
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| http://www.math.upenn.edu/~kadison/index.html | |
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