Linear Maps on Upper Triangular Matrices Spaces Preserving Idempotent Tensor Products
Suppose m, n≥2 are positive integers. Let 𝒯n be the space of all n×n complex upper triangular matrices, and let ϕ be an injective linear map on 𝒯m⊗𝒯n. Then ϕ(A⊗B) is an idempotent matrix in 𝒯m⊗𝒯n whenever A⊗B is an idempotent matrix in 𝒯m⊗𝒯n if and only if there exists an invertible matrix P∈𝒯m⊗𝒯n s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/148321 |