Scalar extensions for polar topologies in locally convex cones
We extend the scalar multiplications for dual pairs of cones and define the corresponding modular neighborhoods and linear polar topologies in locally convex cones. Endowed with the polar topology, every cone may be embedded in a larger cone carrying a linear polar topology over the extended scalars and the embedding is an isomorphism.
2014 ◽
Vol 352
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pp. 785-789
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2008 ◽
Vol 337
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pp. 888-905
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2012 ◽
Vol 55
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pp. 783-798
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2018 ◽
Vol 55
(4)
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pp. 487-497
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2012 ◽
Vol 35
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pp. 353-390
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2017 ◽
Vol 75
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pp. 322-329
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