Asymmetric locally convex spaces
The aim of the present paper is to introduce the asymmetric locally convex spaces and to prove some basic properties. Among these I do mention the analogs of the Eidelheit-Tuckey separation theorems, of the Alaoglu-Bourbaki theorem on the weak compactness of the polar of a neighborhood of 0, and a...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2585 |
| Summary: | The aim of the present paper is to introduce the asymmetric
locally convex spaces and to prove some basic properties. Among
these I do mention the analogs of the Eidelheit-Tuckey separation
theorems, of the Alaoglu-Bourbaki theorem on the weak compactness of
the polar of a neighborhood of 0, and a Krein-Milman-type theorem.
These results extend those obtained by García-Raffi et al. (2003)
and Cobzaş (2004). |
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| ISSN: | 0161-1712 1687-0425 |