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p-算子空间上的框架逼近和嵌入
Frame Approximation and Embedding for p-operator Spaces
介绍了p-算子空间上的p-完全有界框架概念.证明了可分p-算子空间X上存在p-完全有界框架当且仅当X满足p-完全有界逼近性质当且仅当X能够p-完全可补嵌入有p-完全有界基的p-算子空间.对于满足p-完全有界逼近性质的非可分的p-算子空间，还证明了其任意可分子空间均可以p-完全同构嵌入到有p-完全有界框架的p-算子空间.
We introduce the concept of p-completely bounded frames for p-operator spaces.We prove that a separable p-operator space X has a p-completely bounded frame if and only if it has the p-completely bounded approximation property if and only if it can be p-completely complementedly embedded into a p-operator space with a pcompletely bounded basis.For a non-separable p-operator space with the p-completely bounded approximation property, we prove that its separable subspace always can be p-completely isomorphically embedded into a p-operator space with a p-completely bounded frame.
p-算子空间 / p-完全有界框架 / p-完全有界逼近性质 / p-完全有界基 {{custom_keyword}} /
p-operator space / p-completely bounded frame / p-completely bounded approximation property / p-completely bounded basis {{custom_keyword}} /
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国家自然科学基金资助项目（11671214，11301285，11201336，11101220）
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