许汪涛.到每个二维子空间均无范数为1的投影的三维Banach空间[J].数学研究及应用,1984,4(4):97~98 |
到每个二维子空间均无范数为1的投影的三维Banach空间 |
A 3-Dimensional Banach Space which has no Projection with Norm 1 onto any 2-Dimensional Subspace |
投稿时间:1983-04-20 |
DOI:10.3770/j.issn:1000-341X.1984.04.029 |
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Theorem. There exists a 3-dimensional Banach space X which has no projection with norm 1 from X onto M, where M is an arbitrary 2-dimensional subspace of X. |
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