| ON L^P-MATRICIALLY NORMED SPACES |
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| 作者姓名： | T.别克 |
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| 作者单位： | College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China |
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| 摘 要： | 1Introduction and PreliminariesThroughout this paper,we consider linear spaces over the complex numbers C.Given alinear space X and integers m and n,let Mm,n(X)=X?Mm,n denote the linear space ofm×n matricesx=?????x.x..m1,1,1.x..xm1,n,n?????with entries x…
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| 关 键 词： | L^P矩阵 矩阵标准 矩阵空间 界限算子 |
| 收稿时间： | 2003-04-08 |
| 修稿时间： | 2004-06-06 |
ON Lp-MATRICIALLY NORMED SPACES |
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| Turdebek N. Bekjan.ON L^P-MATRICIALLY NORMED SPACES[J].Acta Mathematica Scientia,2005,25(4):681-686. |
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| Authors: | Turdebek N Bekjan |
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| Institution: | 1. Department of Mathematics, Beijing Normal University, Beijing, 100875, PR China;2. Department of Mathematics, Tianjin Normal University, Tianjin, 300387, PR China |
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| Abstract: | It is proved that there is only one Lp-matricially normed space of dimension 1 and that quotient spaces of Lp-matricially normed spaces are also Lp-matricially normed spaces. Some properties of Lp-matricially normed spaces are given. |
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| Keywords: | Matrix norm Lp-matricially normed space completely bounded operator |
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