排序方式： 共有54条查询结果，搜索用时 15 毫秒
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Ming-Huat Lim 《Linear and Multilinear Algebra》2013,61(7):1442-1447
In this note, we give a simple proof as well as an extension of a very recent result of B. Zheng, J. Xu and A. Fosner concerning linear maps between vector spaces of complex square matrices that preserve the rank of tensor products of matrices by using a structure theorem of R. Westwick on linear maps between tensor product spaces that preserve non-zero decomposable elements. 相似文献
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多项式零点保持线性映射 总被引：1，自引：1，他引：0
设H是维数大于2的复Hilbert空间,β(H)代表H上所有有界线性算子全体．假定Φ是从β(H)到其自身的弱连续线性双射．我们证明了映射Φ满足对所有的A,B∈β(H),AB=BA~*蕴涵Φ(A)Φ(B)=Φ(B)Φ(A)~*当且仅当存在非零实数c和酉算子U∈(?)(H),使得Φ(A)=cUAU~*对所有的A∈β(H)成立． 相似文献
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In a former paper we studied transformations on the set of all -dimensional subspaces of a Hilbert space which preserve the principal angles. In the case when , we could determine the general form of all such maps. The aim of this paper is to complete our result by considering the problem in the remaining case .
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令H是维数大于2的复Hilbert空间,A是H上自伴标准算子代数.对于给定的正整数k≥1,H上算子A与B的k-斜交换子递推地定义为*[A,B]k=*[A,*[A,B]k-1],其中*[A,B]0=B,*[A,B]1=AB-BA*.设k≥4,φ是A上的值域包含所有一秩投影的映射.本文证明了φ满足*[φ（A）,φ（B）]k=*[A,B]k对任意A,B∈A都成立的充分必要条件是φ（A）=A对任意A∈A都成立,或φ（A）=-A对任意A∈A都成立.当k是偶数时后一情形不出现. 相似文献
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María Burgos Antonio M. Peralta 《Journal of Mathematical Analysis and Applications》2011,376(1):221-230
We prove that every biorthogonality preserving linear surjection between two dual or compact C?-algebras or between two von Neumann algebras is automatically continuous. 相似文献
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