This article is cited in 3 papers

For cones in Hilbert spaces, regularity is equivalent to self-duality

V. T. Khudalov

North-Ossetia State University

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.

UDC: 517.982

Received: 17.03.1997
Revised: 02.09.1997

DOI: 10.4213/mzm1437

 English version: Mathematical Notes, 1998, 64:4, 532–536

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