Nonstandard rank-one nonincreasing maps on symmetric matrices
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Publication:4646651
DOI10.1080/03081087.2017.1419456zbMath1405.15031OpenAlexW2778173558MaRDI QIDQ4646651
Publication date: 14 January 2019
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2017.1419456
finite fieldsquadratic formssymmetric tensorssymmetric matriceshomogeneous polynomialspreserver problems
Forms of degree higher than two (11E76) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Quadratic and bilinear forms, inner products (15A63) Linear preserver problems (15A86)
Related Items (3)
Maps preserving transition probability from pure product states to pure states ⋮ More on Tensors with Different Rank and Symmetric Rank ⋮ Commuting maps on invertible triangular matrices over \(\mathbb{F}_2\)
Cites Work
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- The optimal version of Hua's fundamental theorem of geometry of square matrices -- the low dimensional case
- Adjacency preservers on invertible Hermitian matrices. I.
- Adjacency preservers on invertible Hermitian matrices. II.
- Adjacency preservers, symmetric matrices, and cores
- On endomorphisms of alternating forms graph
- Rank-one nonincreasing additive mappings on second symmetric product spaces
- Linear transformations preserving symmetric rank one matrices
- Inclusion matrices and the MDS conjecture
- Maps on matrix spaces
- A note on adjacency preservers on Hermitian matrices over finite fields
- Additive mappings on symmetric matrices
- On generalizations of the Petersen graph and the Coxeter graph
- Linear maps on symmetric spaces: The invariance of nonzero decomposable elements
- Linear transformations on symmetric spaces
- Continuous space-time transformations
- Extending small arcs to large arcs
- Counting solutions to equations in many variables over finite fields
- Hua's fundamental theorems of the geometry of matrices and related results
- Additive rank-one preserving surjections on symmetric matrix spaces
- A note on additive mappings decreasing rank one
- Classical adjoint-commuting mappings on Hermitian and symmetric matrices
- Maps on matrix and operator algebras
- Graphs associated with matrices over finite fields and their endomorphisms
- Adjacency preserving mappings of \(2 \times 2\) Hermitian matrices
- Hua's fundamental theorem of geometry of rectangular matrices over EAS division rings
- Transformations of symmetric tensors
- Additive mappings between Hermitian matrix spaces preserving rank not exceeding one
- Geometry of symmetric matrices over any field with characteristic other than two
- Remarks on the Symmetric Rank of Symmetric Tensors
- Linear rank one preservers on tensor products of Hermitian matrices
- Linear spaces and preservers of symmetric matrices of bounded rank-two
- Adjacency preserving mappings on real symmetric matrices
- Additive preservers of tensor product of rank one hermitian matrices
- Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one
- Adjacency Preserving Maps on Hermitian Matrices
- Additive rank-one nonincreasing maps on Hermitian matrices over the field GF(4)
- Adjacency preserving functions on symmetric elements and linear preservers of non-zero decomposable symmetric tensors
- Chapter 2:rank and tensor rank
- Canonical forms of order-k(k= 2, 3, 4) symmetric tensors of format 3 × … × 3 over prime fields
- Symmetric Tensors and Symmetric Tensor Rank
- On Subsets of the Normal Rational Curve
- Additive maps on hermitian matrices
- Linear spaces and preservers of bounded rank-two per-symmetric triangular matrices
- Additive mappings that do not increase minimal rank of alternate matrices
- Homomorphisms of strongly regular graphs
- COMPOUND-COMMUTING ADDITIVE MAPS ON MATRIX SPACES
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