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For cones in Hilbert spaces, regularity is equivalent to self-duality |
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| Authors: | V. T. Khudalov |
| Affiliation: | (1) North-Ossetian State University, Vladikavkaz |
| Abstract: | The theorem stating that a cone in a Hilbert space is regular if and only if it is self-dual is proved and applied to obtain new proofs of earlier results.Translated fromMatematicheskie Zametki, Vol. 64, No. 4, pp. 616–621, October, 1998. |
| Keywords: | regular cone self-dual cone closed cone metric modulus of an element in Hilbert space metric positive and negative parts of an element in Hilbert space regularly ordered Hilbert space |
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