| The Construction of $\it I$-Bornological Vector Spaces |
| Received:January 05, 2015 Revised:March 20, 2015 |
| Key Words:
$I$-vector bornology $I$-bornological vector space $I$-bornological linear map
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.\,11301281) and the Natural Science Foundation of Anhui Higher Education Institution (Grant No.\,KJ2012A136). |
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| Abstract: |
| In this paper, the concept of $I$-bornological vector spaces and two examples of the spaces are given. Two methods on constructing new $I$-bornological vector spaces are discussed, one is using a (crisp) bornological vector space to induce an $I$-bornological vector space, the other is utilizing $I$-bornological linear maps to generate an $I$-bornological vector space. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.02.011 |
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