Linear operators preserving the generalized decomposable numerical range

DOI10.1007/BF02882513zbMath0931.47004MaRDI QIDQ1365360

Tian-Gang Lei

Publication date: 23 February 2000

Published in: Chinese Science Bulletin (Search for Journal in Brave)

zbMATH Keywords

matrix\(f\)-decomposable numerical rangePositive semidefinite function

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Cites Work

• Conditions for the generalized numerical range to be real
• Linear operators on matrices: The invariance of the decomposable numerical range
• Linear operators on matrices: The invariance of the decomposable numerical range. II
• Generalized Schur functions
• Positive operators and an inertia theorem
• Linear Transformations on Algebras of Matrices
• On marcus-wang's numerical range
• Numerical range preserving operators on a Banach algebra
• Linear operators preserving the decomposable numerical range
• Positive semi-definiteness in the complex group algebra

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