On operators preserving the numerical range

DOI10.1016/0024-3795(90)90004-VzbMath0716.47004OpenAlexW2083702427MaRDI QIDQ753109

Matjaž Omladič

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90004-v

zbMATH Keywords

numerical range

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12)

Related Items (11)

Additive preservers of numerical range ⋮ Multiplicative preservers of higher-dimensional numerical ranges ⋮ Maps that preserve higher-dimensional numerical ranges with operator Jordan products ⋮ The cone of nonnegative \(c\)-numerical range and its preservers ⋮ Linear maps preserving numerical radius on nest algebras ⋮ Linear maps transforming the higher numerical ranges ⋮ 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 ⋮ Maps preserving numerical ranges of operator products ⋮ Linear maps preserving the higher numerical ranges of tensor products of matrices

Cites Work

• Rank \(k\)-preservers and preservers of sets of ranks
• On positive linear maps preserving invertibility
• On operators preserving commutativity
• 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
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• Linear operators preserving the higher numerical radius of matrices
• Numerical range preserving operators on a Banach algebra
• Invariants of linear maps on matrix algebras

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