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Characterization of transformations preserving rank two tensors of a tensor product space Moore, Carolyn Fay
Abstract
Let U⊗V be a tensor product space over an algebraically closed field F ; let dim U = m and dim V = n ; let T be a linear transformation on U⊗V such that T preserves rank two tensors. We show that T preserves rank one tensors and this enables us to characterize T for all values of m and n.
Item Metadata
Title |
Characterization of transformations preserving rank two tensors of a tensor product space
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
1966
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Description |
Let U⊗V be a tensor product space over an algebraically closed field F ; let dim U = m and dim V = n ; let T be a linear transformation on U⊗V such that T preserves rank two tensors.
We show that T preserves rank one tensors and this enables us to characterize T for all values of m and n.
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Genre | |
Type | |
Language |
eng
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Date Available |
2011-08-31
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Provider |
Vancouver : University of British Columbia Library
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Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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DOI |
10.14288/1.0080595
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URI | |
Degree | |
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Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.