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Linear and Multilinear Algebra Volume 27, 1990 - Issue 2
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Original Articles

Concavity of monotone matrix functions of finite order

Roy Math Ias Department of Mathematical Sciences, The Johns Hopkins University, Baltimore, MD, 21218
Pages 129-138 | Received 17 May 1989, Published online: 30 May 2007

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Koenraad M.R. Audenaert & Jaspal Singh Aujla. (2012) On norm sub-additivity and super-additivity inequalities for concave and convex functions. Linear and Multilinear Algebra 60:11-12, pages 1369-1389.
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John Chollet. (1997) Some Inequalities for Principal Submatrices. The American Mathematical Monthly 104:7, pages 609-617.
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Articles from other publishers (14)

Gergő Nagy. (2020) Maps stemming from the functional calculus that transform a Kubo–Ando mean into another. Aequationes mathematicae 94:4, pages 761-775.
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M. Gaál & G. Nagy. (2018) A Characterization of Unitary-Antiunitary Similarity Transformations via Kubo–Ando Means. Analysis Mathematica 45:2, pages 311-319.
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Barry SimonBarry Simon. 2019. Loewner's Theorem on Monotone Matrix Functions. Loewner's Theorem on Monotone Matrix Functions 107 116 .
Marcell Gaál & Gergo Nagy. (2018) Maps on Hilbert space effect algebras preserving norms of operator means Marcell Gaáland Gergo Nagy. Acta Scientiarum Mathematicarum 84:1-2, pages 201-208.
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Frank Hansen. (2013) The fast track to Löwner’s theorem. Linear Algebra and its Applications 438:11, pages 4557-4571.
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Shaohua Pan, Yungyen Chiang & Jein-Shan Chen. (2012) SOC-monotone and SOC-convex functions vs. matrix-monotone and matrix-convex functions. Linear Algebra and its Applications 437:5, pages 1264-1284.
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Hiroyuki Osaka & Jun Tomiyama. 2012. Analysis for Science, Engineering and Beyond. Analysis for Science, Engineering and Beyond 319 324 .
Hiroyuki Osaka & Jun Tomiyama. (2009) Double piling structure of matrix monotone functions and of matrix convex functions. Linear Algebra and its Applications 431:10, pages 1825-1832.
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Chi-Kwong Li & Roy Mathias. (2000) Extremal Characterizations of the Schur Complement and Resulting Inequalities. SIAM Review 42:2, pages 233-246.
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Themistocles M. RassiasFrank Hansen. 2000. Survey on Classical Inequalities. Survey on Classical Inequalities 67 98 .
Jaspal Singh Aujla. (1999) A fixed point theorem and a norm inequality for operator means. Linear Algebra and its Applications 290:1-3, pages 109-118.
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Rajendra Bhatia & Fuad Kittaneh. (1997) Some Inequalities for Norms of Commutators. SIAM Journal on Matrix Analysis and Applications 18:1, pages 258-263.
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Jaspal Singh Aujla & H.L. Vasudeva. (1996) Some convex and monotone matrix functions. Linear Algebra and its Applications 248, pages 47-60.
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T. Ando. (1994) Majorizations and inequalities in matrix theory. Linear Algebra and its Applications 199, pages 17-67.
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