Linear transformations on tensor spaces

DOI10.1080/03081088308817538zbMath0522.15015OpenAlexW1964803128MaRDI QIDQ3672123

Ming-Huat Lim, Gin Hor Chan

Publication date: 1983

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088308817538

zbMATH Keywords

tensor productsvector spaceslinear transformationstensor spacesrank of tensor

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Multilinear algebra, tensor calculus (15A69)

Related Items (17)

Linear mappings which are rank-knonincreasing^* ⋮ Linear preservers on triangular matrices ⋮ Linear operators preserving certain functions on singular values of matrices ⋮ Linear transformations on symmetric matrices II ⋮ On linear preservers of permanental rank ⋮ Chapter 2:rank and tensor rank ⋮ Linear preservers of decomposable tensors ⋮ Linear maps on symmetric spaces: The invariance of nonzero decomposable elements ⋮ Linear transformations on that preserve the Ky Fank-norm and a remarkable special case when (nk) = (4, 2) ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Monotone Linear Transformations on Matrices Are Invertible ⋮ Additive preservers of non-zero decomposable tensors ⋮ Additive decomposability preservers and related results on tensor products of matrices ⋮ Linear transformations on symmetry classes of tensors II ⋮ A note on preservers of decomposability ⋮ Linear rank one preservers between spaces of matrices with zero trace ⋮ On linear transformations preserving rank one matrices over commutative rings

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