GAPS BETWEEN CLASSES OF MATRIX MONOTONE FUNCTIONS

DOI10.1112/S0024609303002455zbMath1047.26008arXivmath/0204204OpenAlexW3099259713MaRDI QIDQ4460784

Jun Tomiyama, Frank Hansen, Guo Xing Ji

Publication date: 29 March 2004

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204204

zbMATH Keywords

spectrumpositivityoperator algebrasoperator monotone functionscomplete positivitymatrix monotone functions of order \(n\)

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of von Neumann algebras (46L10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Monotonic functions, generalizations (26A48)

Related Items (14)

Positivity around Cauchy matrices ⋮ Kraus matrices and matrix convex functions ⋮ Differential analysis of matrix convex functions ⋮ On generalized Powers-Størmer's inequality ⋮ Double piling structure of matrix monotone functions and of matrix convex functions. II. ⋮ SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions ⋮ To the theory of operator monotone and operator convex functions ⋮ Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮ Piling Structure of Families of Matrix Monotone Functions and of Matrix Convex Functions ⋮ The Hessian of a noncommutative polynomial has numerous negative eigenvalues ⋮ MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS ⋮ Note on the Structure of the Spaces of Matrix Monotone Functions ⋮ Interpolation of Normed Abelian Groups and Non-Commutative Integration ⋮ Double piling structure of matrix monotone functions and of matrix convex functions

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