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Pseudoconvex classes
of functions. II. Affine pseudoconvex classes on RN
Zbigniew Slodkowski |
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Vol. 141 (1990), No. 1, 125–163
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Abstract |
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A complete description of invariant pseudoconvex classes of functions on RN which are closed with respect to addition of affine functions is given. Each such class is shown to be equal to its own bidual, and approximation results, including piecewise-smooth approximation and a counterexample to smooth approximation, are obtained. The results of the paper have applications to multivariate interpolation of normed spaces and to approximation of analytic multifunctions, which are given elsewhere. |
Mathematical Subject Classification 2000
Primary: 32F05
Secondary: 31C10, 32F10
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Milestones
Received: 23 February 1988
Published: 1 January 1990
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Authors |
| Zbigniew Slodkowski | |
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