On a positive linear map preserving absolute values

DOI10.1016/S0024-3795(97)80015-8zbMath0878.15008OpenAlexW2086304494MaRDI QIDQ1361784

Woo Young Lee, Leroy B. Beasley, An Hyun Kim

Publication date: 14 December 1997

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)80015-8

zbMATH Keywords

cone\(C^*\)-algebrasabsolute valuepositive elements

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) General theory of (C^*)-algebras (46L05) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04)

Cites Work

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• Isometries of operator algebras
• Linear Maps of C ∗ -Algebras Preserving the Absolute Value
• Affine mappings of invertible operators
• On the Jordan Structure of C ∗ -Algebras