Geodesic
For cones in Hilbert spaces, regularity is equivalent to self-duality
Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 616-621

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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. 
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     author = {V. T. Khudalov},
     title = {For cones in {Hilbert} spaces, regularity is equivalent to self-duality},
     journal = {Matemati\v{c}eskie zametki},
     pages = {616--621},
     publisher = {mathdoc},
     volume = {64},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a14/}
}
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V. T. Khudalov. For cones in Hilbert spaces, regularity is equivalent to self-duality. Matematičeskie zametki, Tome 64 (1998) no. 4, pp. 616-621. http://geodesic.mathdoc.fr/item/MZM_1998_64_4_a14/