Hilbert compacts,compact ellipsoids,and compact extrema |
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Authors: | I V Orlov |
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Institution: | 1.V. I. Vernadskii Tavria National University,Simferopol’,Ukraine |
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Abstract: | We consider a system of so-called Hilbert compacts K(H) in a Hilbert space H; those Hilbert compacts admit a two-sided estimate by compact ellipsoids in H. For functionals in H, we introduce the notion of a compact extremum achieved at a certain base with respect to the imbedding in K(H). An example of the K-extremum of a variational functional in the Sobolev space W
21 is considered. |
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Keywords: | |
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