Positive operators compact in an auxiliary topology.
F. F. Bonsall
Source: Pacific J. Math. Volume 10, Number 4
(1960), 1131-1138.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1103038051
Zentralblatt MATH identifier: 0196.43301
Mathematical Reviews number (MathSciNet): MR0119103
References
[1] F. F. Bonsall, Endomorphisms of partially ordered vector spaces, J. London Math. Soc, 30 (1955), 133-144.
Mathematical Reviews (MathSciNet): MR16:936d
Zentralblatt MATH: 0065.09801
[2] F. F. Bonsall, Linear operators in complete positive cones, Proc. London Math. Soc, (3) 8 (1958), 53-75.
Mathematical Reviews (MathSciNet): MR19:1183c
Zentralblatt MATH: 0097.09803
[3] M. G. Krein and M. A. Rutman, Linear operators leaving invariant a conein a Banach space (Russian), Uspehi Mat. Nauk (N.S.), 3, No. 1, 23 (1948), 3-95, English translation: American Math. Soc, Translation 26.
Mathematical Reviews (MathSciNet): MR10:256c
[4] M. Krein, Sur les operations lineires transformantun certain ensemble conique en lui-meme, C.R. (Doklady) Acad. Sci. U.R.S.S. (N.S.), 23 (1939), 749-752.
Mathematical Reviews (MathSciNet): MR1:337c
Zentralblatt MATH: 65.1322.02
[5] H. Schaefer, Halbgeordnete lokalkonvexe Vektorraume. II, Math. Annalen 138 (1959), 259-286.
Mathematical Reviews (MathSciNet): MR21:5135
Zentralblatt MATH: 0092.11303
[6] H. Schaefer, Some spectral properties of positive linear operators. Pacific J. Math., 10 (I960), 1009-1019.
Mathematical Reviews (MathSciNet): MR22:5893
Pacific Journal of Mathematics