Chapter 2:rank and tensor rank
From MaRDI portal
Publication:4033839
DOI10.1080/03081089208818178zbMath0768.15020OpenAlexW1486722111MaRDI QIDQ4033839
No author found.
Publication date: 16 May 1993
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089208818178
Vector and tensor algebra, theory of invariants (15A72) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)
Related Items
Linear maps on von Neumann algebras preserving zero products on tr-rank, Linear operators preserving certain singular matrix sets, Linear preservers on triangular matrices, Linear maps preserving rank of tensor products of matrices, Rank-1 preserving linear maps on nest algebras., Decomposable symmetric mappings between infinite-dimensional spaces, Nonstandard rank-one nonincreasing maps on symmetric matrices, Linear maps preserving idempotence on nest algebras, Linear preservers on upper triangular operator matrix algebras, Bijective linear maps on semimodules spanned by Boolean matrices of fixed rank, Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear transformations preserving symmetric rank one matrices
- Rank \(k\)-preservers and preservers of sets of ranks
- Maps on simple algebras preserving zero products. II: Lie algebras of linear type
- Transformations on tensor product spaces
- Inequalities for the permanent function
- Boolean-rank-preserving operators and Boolean-rank-1 spaces
- Linear transformations preserving sets of ranks
- Fuzzy rank-preserving operators
- On the dimension of spaces of linear transformations satisfying rank conditions
- Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar
- Automorphisms of \(\det (X_{ij}):\) The group scheme approach
- Maps on spaces of linear transformations over semisimple algebras
- Rank 1 preserving maps on linear transformations over noncommutative local rings
- Linear transformations which preserve or decrease rank
- Linear transformations which preserve fixed rank
- Spaces of matrices of equal rank
- Linear transformations on matrices: The invariance of sets of ranks
- Linear maps on symmetric spaces: The invariance of nonzero decomposable elements
- Linear preservers on powers of matrices
- Linear transformations on symmetric spaces
- Linear maps that preserve singular and nonsingular matrices
- Multilinear transformations on matrices
- Maps on simple algebras preserving zero products. I: The associative case
- Term-rank, permanent, and rook-polynomial preservers
- Nonnegative rank-preserving operators
- Linear transformations on Grassmann spaces
- Transformations on tensor spaces
- Linear transformations of tensor products preserving a fixed rank
- Decomposable symmetric tensors
- \({\mathcal L}-2\) subspaces of Grassmann product spaces
- Linear transformations on matrices: The invariance of rank \(k\) matrices
- Rank preservers of skew-symmetric matrices
- Transformations of symmetric tensors
- Sur une généralisation du groupe orthogonal à quatre variables
- Geometry of symmetric matrices over any field with characteristic other than two
- On the geometry of algebraic homogeneous spaces
- Linear transformations on symmetry classes of tensors II
- Signature preserving linear maps of Hermitian matrices
- Linear Transformations on Algebras of Matrices
- Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
- On Spaces of Linear Transformations with Bounded Rank
- Linear Maps That Preserve an Inertia Class
- Linear transformations
- Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
- Invertibility of linear maps preserving matrix invariants
- Linear transformations on tensor spaces
- On linear transformations preserving rank one matrices over commutative rings
- Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class
- Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
- Algebraic varieties in the symmetric algebra
- Spaces of matrices of fixed rank
- Linear maps preserving rank less than or equal to one
- Linear Operations on Matrices
- THE RANK OF A PAIR OF MATRICES AND CONVOLUTION
- Linear mappings on symmetry classes of tensors
- Linear transformations on symmetric matrices
- Linear Transformations on Grassmann Spaces III
- A Note on Maximal Decomposable Subspaces of Symmetric Spaces
- On Adjacency Preserving Maps
- Linear transformations on matrices: rank 1 preservers and determinant preservers
- Linear transformation on symmetry classes of tensors
- LARGE SPACES OF MATRICES OF BOUNDED RANK
- Linear Operators Preserving The Real Symplectic Group
- Linear Transformations on Grassmann Spaces
- Euclidean Models of Projective Spaces
- Linear transformations on matrices
- Coherence Invariant Mappings on Kronecker Products
- Linear operators on matrices: The invariance of rank-k matrices
- Spaces of linear transformations of equal rank
- Vector fields on spheres
- Linear operators on matrices: The invariance of rank-k matrices
