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| dc.contributor | ||
| dc.creator | Blerina Boci; Department of Mathematic, "Aleksander Moisiu" University of Durres | |
| dc.creator | Valentina SHEHU; Department of Mathematic, Tirana University | |
| dc.date | 2013-06-17 09:13:53 | |
| dc.date.accessioned | 2013-07-15T11:51:55Z | |
| dc.date.accessioned | 2015-11-20T09:14:12Z | |
| dc.date.available | 2013-07-15T11:51:55Z | |
| dc.date.available | 2015-11-20T09:14:12Z | |
| dc.date.issued | 2013-07-15 | |
| dc.identifier.uri | http://dspace.epoka.edu.al/handle/1/703 | |
| dc.description | Using the concept of the strings in the vector spaces, is developed a theory relatedto the topological vector spaces (t.v.s).At this point of view, there are some important definitions for the strings and wecan also see their characteristics in the topological vector spaces.Also, considering a set of t.v.s we show that the topological product and thetopological direct sum coincide if and only if I is finite. We want to show somepermanence properties of barrelled spaces and conclude, every t.v.s of second category(i.e a Baire space) is barrelled. Especially (F)-spaces are barrelled. Some important resultsare: The topological direct sum (the product) of barrelled spaces is barrelled. Everyquotient space of a barrelled space is barrelled. Finally, we will show that is also true for asubspace F of finite codimension in the barrelled space E the topology induced on F by Eis barrelled. | |
| dc.format | application/pdf | |
| dc.language | en | |
| dc.publisher | International Symposium on Computing in Informatics and Mathematics | |
| dc.rights | Authors who submit to this conference agree to the following terms:<br/> <strong>a)</strong> Authors retain copyright over their work, while allowing the conference to place this unpublished work under a <a href="http://creativecommons.org/licenses/by/3.0/">Creative Commons Attribution License</a>, which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship and its initial presentation at this conference.<br/> <strong>b)</strong> Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book), with an acknowledgement of its initial presentation at this conference.<br/> <strong>c)</strong> In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website) at any point before and after the conference. | |
| dc.source | International Symposium on Computing in Informatics and Mathematics; 1st International Symposium on Computing in Informatics and Mathematics | |
| dc.subject | ||
| dc.subject | ||
| dc.subject | ||
| dc.title | Topological Direct Sums of non Convex Barrelled Spaces | |
| dc.type | Peer-reviewed Paper | |
| dc.type |
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ISCIM 2011
1st International Symposium on Computing in Informatics and Mathematics