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Extreme points of the set of dilation–invariant banach limits
A. S. Usachev Central South University, Changsha
Abstract:
We prove that the set of extreme points of the set of dilation–invariant Banach limits is unclosed in the weak$^*$ topology.
Keywords:
Banach limits, dilation, extreme points.
Received: 18.03.2020 Revised: 06.06.2020 Accepted: 17.06.2020
Citation:
A. S. Usachev, “Extreme points of the set of dilation–invariant banach limits”, Sibirsk. Mat. Zh., 61:5 (2020), 1122–1129; Siberian Math. J., 61:5 (2020), 895–900
Linking options:
https://www.mathnet.ru/eng/smj6042 https://www.mathnet.ru/eng/smj/v61/i5/p1122
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Abstract page: | 150 | Full-text PDF : | 64 | References: | 31 |
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