Invariants of linear maps on matrix algebras
From MaRDI portal
Publication:4180466
DOI10.1080/03081087808817237zbMath0397.15011OpenAlexW2089768356MaRDI QIDQ4180466
William Watkins, Stephen J. Pierce
Publication date: 1978
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087808817237
Vector and tensor algebra, theory of invariants (15A72) Commutativity of matrices (15A27) Linear transformations, semilinear transformations (15A04)
Related Items
FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Commutativity-preserving and normal-preserving linear transformations on ⋮ Linear maps relating different unitary similarity orbits or different generalized numerical ranges ⋮ Linear maps on Hermitian matrices: the stabilizer of an inertia class, II ⋮ Nonlinear maps preserving higher-dimensional numerical range of skew Lie product of operators ⋮ On maps preserving zero Jordan products. ⋮ Linear operators preserving the (p,q)-numerical range ⋮ Linear preserver problems and algebraic groups ⋮ Maps on Matrix Algebras Preserving Commutativity ⋮ Linear operators preserving the higher numerical radius of matrices ⋮ Chapter 4:algebraic sets, polynomials, and other functions ⋮ Chapter 6: linear preservers on numerical ranges, numerical radii and unitary similarity invariant norms ⋮ Chapter 7: linear preservers of relations on Matrix Spaces ⋮ A generalized numerical range: the range of a constrained sesquilinear form ⋮ C-numerical ranges andC-numerical radii ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Linear operators that preserve thec-numerical range or radius of matrices ⋮ Linear transformations on symmetric matrices that preserve commutativity ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ Normal-preserving linear transformations ⋮ Invertible Preservers and Algebraic Groups II: Preservers of Similarity Invariants and Overgroups ofPSLn(F) ⋮ Invertible preservers and algebraic groups III: preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups∗ ⋮ Injective strong commutativity preservers on \(\mathcal{T}_{\infty}(F)\) ⋮ Preserving commutativity ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Linear maps transforming the higher numerical ranges ⋮ Some linear preserver problems on upper triangular matrices ⋮ The invarianee ofC-numerical rangeC-numericai radius, and their dual problems ⋮ Linear operators preserving the numerical range (radius) on triangular matrices ⋮ Linear operators preserving the numerical range (radius) on triangular matrices ⋮ Nonlinear maps preserving higher-dimensional numerical ranges of Jordan \(*\)-products ⋮ On operators preserving the numerical range ⋮ Linear maps preserving commutativity ⋮ Linear maps preserving the higher numerical ranges of tensor products of matrices ⋮ On functional identities in left ideals of prime rings ⋮ Commutativity preserving mappings on semiprime rings ⋮ On operators preserving commutativity ⋮ Linear transformations on self-adjoint matrices: The preservation of rank-one-plus-scalar ⋮ Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space
Cites Work
- Unnamed Item
- Unnamed Item
- Linear maps that preserve commuting pairs of matrices
- Normality and the numerical range
- Isometries of matrix algebras
- Sur une généralisation du groupe orthogonal à quatre variables
- Field Convexity of a Square Matrix
- Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
- A Note on Lie Isomorphisms
- An Affine Representation for Transversal Geometries
- A Lyapunov theorem for angular cones
- Linear Operators Preserving The Real Symplectic Group
- Lie Isomorphisms of Primitive Rings
- Commutators of Matrices with Prescribed Determinant
- Lie Isomorphisms of Simple Rings
- Linear transformations on matrices
- Coherence Invariant Mappings on Kronecker Products