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Chapter 2:rank and tensor rank (Q4033839)

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Language	Label	Description	Also known as
English	Chapter 2:rank and tensor rank	scientific article

Statements

scholarly article

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Chapter 2:rank and tensor rank (English)

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Linear and Multilinear Algebra

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publication date

16 May 1993

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zbMATH Keywords

vector space of matrices

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symmetry classes of tensors

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rank preserver

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survey

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bibliography

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/03081089208818178

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Vector fields on spheres

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LARGE SPACES OF MATRICES OF BOUNDED RANK

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Linear transformations on matrices: The invariance of rank \(k\) matrices

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Spaces of matrices of equal rank

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Linear transformations which preserve fixed rank

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Linear transformations on matrices: The invariance of sets of ranks

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Rank \(k\)-preservers and preservers of sets of ranks

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Linear transformations preserving sets of ranks

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Linear operators on matrices: The invariance of rank-k matrices

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Nonnegative rank-preserving operators

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Linear operators on matrices: The invariance of rank-k matrices

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Boolean-rank-preserving operators and Boolean-rank-1 spaces

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Fuzzy rank-preserving operators

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Term-rank, permanent, and rook-polynomial preservers

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Linear maps that preserve singular and nonsingular matrices

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Linear maps preserving rank less than or equal to one

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Linear transformations on tensor spaces

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Linear preservers on powers of matrices

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On the geometry of algebraic homogeneous spaces

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Decomposable symmetric tensors

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Transformations of symmetric tensors

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Sur une généralisation du groupe orthogonal à quatre variables

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Linear transformations of tensor products preserving a fixed rank

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On Spaces of Linear Transformations with Bounded Rank

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THE RANK OF A PAIR OF MATRICES AND CONVOLUTION

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Signature preserving linear maps of Hermitian matrices

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Geometry of symmetric matrices over any field with characteristic other than two

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Coherence Invariant Mappings on Kronecker Products

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Euclidean Models of Projective Spaces

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Linear Maps on Hermitian Matrices: The Stabilizer of an Inertia Class

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Linear maps on Hermitian matrices: the stabilizer of an inertia class, II

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Linear transformations

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Linear transformations on symmetric spaces

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A Note on Maximal Decomposable Subspaces of Symmetric Spaces

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Linear transformation on symmetry classes of tensors

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Linear transformations on symmetric matrices

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Linear mappings on symmetry classes of tensors

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Linear mappings on second symmetric product spaces that Preserve rank less than or equal to one

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Linear transformations on symmetry classes of tensors II

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Linear maps on symmetric spaces: The invariance of nonzero decomposable elements

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\({\mathcal L}-2\) subspaces of Grassmann product spaces

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Rank preservers of skew-symmetric matrices

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Linear transformations which preserve or decrease rank

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Linear Maps That Preserve an Inertia Class

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Linear Operations on Matrices

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Linear transformations on matrices

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Linear Transformations on Algebras of Matrices

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Transformations on tensor product spaces

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Inequalities for the permanent function

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Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions

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Linear transformations on matrices: rank 1 preservers and determinant preservers

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Algebraic varieties in the symmetric algebra

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Linear Operators Preserving The Real Symplectic Group

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Multilinear transformations on matrices

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On the dimension of spaces of linear transformations satisfying rank conditions

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Invertibility of linear maps preserving matrix invariants

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On linear transformations preserving rank one matrices over commutative rings

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Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar

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Automorphisms of \(\det (X_{ij}):\) The group scheme approach

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Linear transformations preserving symmetric rank one matrices

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Linear transformations on Grassmann spaces

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Transformations on tensor spaces

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Linear Transformations on Grassmann Spaces

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Spaces of linear transformations of equal rank

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Linear Transformations on Grassmann Spaces III

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On Adjacency Preserving Maps

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Spaces of matrices of fixed rank

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Maps on simple algebras preserving zero products. I: The associative case

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Maps on simple algebras preserving zero products. II: Lie algebras of linear type

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Rank 1 preserving maps on linear transformations over noncommutative local rings

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Maps on spaces of linear transformations over semisimple algebras

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Identifiers

zbMATH Open document ID

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10.1080/03081089208818178

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4033839

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