Some Contribution to the Duality Theory of Barrelledly Nuclear Locally Convex Spaces
| Vol-4 | Issue-5 | May 2019 | Published Online: 25 May 2019 PDF ( 237 KB ) | ||
| Author(s) | ||
| Dr. Vijay Kumar 1; Dr. P.K. Chakraborty 2 | ||
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1Deptt. of Mathematics, College of Commerce, Patna-20 2Deptt. of Mathematics, MJK College Bettiah, West Champaran |
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| Abstract | ||
In this paper we have established that a given dual nuclear locally convex space can be a dual barrelledly nuclear locally convex space. Further we have proved that a dual barrelledly nuclear convex space is a F-space. In other words, a dually nuclear locally convex space is a F-space. |
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| Keywords | ||
| Barrelledly Nuclear Spaces, Nuclear Locally Convex space, fundamental system of zero neighbourhoods, F-Space | ||
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