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Vietnam Journal of Mathematics 34:2(2006) 139-147 |
Some Results on the Properties $D_3(f)$ and $D_4(f)$ |
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Pham Hien Bang |
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Abstract. The aim of this paper is to give characterizations of subspaces and quotients of $\ell^\infty(I)\widehat{\otimes}_\Pi L_f(\alpha,\infty)$ and $\ell^1(I)\ widehat{\otimes}_\Pi L_f(\alpha,\infty)$-spaces which are an extension of results of Apiola [1] for the non-nuclear case. |
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2000 Mathematics Subject Classification: 46A04, 46A11, 46A32, 46A45. |
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Keywords: nuclear space, $D_3(f)$ property, $D_4(f)$ property. |
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Vietnam Academy of Science and Technology
& Vietnamese Mathematical Society © Copyright 2009 Vietnam Journal of Mathematics. All rights reserved. |