Results 11 to 20 of about 1,391 (258)
Convex and monotone operator functions [PDF]
Annales Polonici Mathematici, 1995 This paper characterizes operator convex and operator monotone functions in two variables. An alternative proof of a two-variable analogue of Loewners theorem for operator monotone functions of one variable due to \textit{A. Korányi} [Trans. Am. Math. Soc. 101, 520-554 (1961; Zbl 0111.11501)] and \textit{H. Vasudeva} [ibid. 176, 305-318 (1973; Zbl 0261.
Aujla, Jaspal Singh, Vasudeva, H. L.
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A Note on Real Operator Monotone Functions [PDF]
International Mathematics Research Notices, 2020 Abstract In this paper, we initiate the study of real operator monotonicity for functions of tuples of operators, which are multivariate structured maps with a functional calculus called free functions that preserve the order between real parts (or Hermitian parts) of bounded linear Hilbert space operators.
Gaál, Marcell Gábor, Pálfia, Miklós
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Extensions of Monotone Operator Functions [PDF]
Proceedings of the American Mathematical Society, 1976 It is shown that a monotone operator function f f defined on an open subset Δ \Delta of the real numbers may be extended to a monotone operator function on the convex hull of Δ \Delta .
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Three classes of decomposable distributions
Open Mathematics, 2020 In this work, we refine the results of Sendov and Shan [New representation theorems for completely monotone and Bernstein functions with convexity properties on their measures, J. Theor. Probab.
Jedidi Wissem +2 more
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Annales Mathematicae Silesianae, 2021 For a continuous and positive function ω (λ); λ> 0 and μ a positive measure on [0; ∞) we consider the following 𝒟-logarithmic integral transform𝒟ℒog(w,μ)(T):=∫0∞w(λ)1n(λ+Tλ)dμ(λ),\mathcal{D}\mathcal{L}og\left( {w,\mu } \right)\left( T \right): = \int_0 ...
Dragomir Silvestru Sever
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Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities
Fractal and Fractional, 2021 In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali +6 more
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MONOTONE OPERATOR FUNCTIONS ON C*-ALGEBRAS
International Journal of Mathematics, 2005 The article is devoted to investigation of classes of functions monotone as functions on general C*-algebras that are not necessarily the C*-algebra of all bounded linear operators on a Hilbert space as in classical case of matrix and operator monotone functions.
Osaka, Hiroyuki +2 more
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Positivity, Betweenness, and Strictness of Operator Means
Abstract and Applied Analysis, 2015 An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property.
Pattrawut Chansangiam
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Convergence analysis of a variable metric forward–backward splitting algorithm with applications
Journal of Inequalities and Applications, 2019 The forward–backward splitting algorithm is a popular operator-splitting method for solving monotone inclusion of the sum of a maximal monotone operator and an inverse strongly monotone operator.
Fuying Cui, Yuchao Tang, Chuanxi Zhu
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New Results on the Radial Solutions to a Class of Nonlinear k-Hessian System
Journal of Mathematics, 2022 This paper investigates the positive radial solutions of a nonlinear k-Hessian system. ΛSk1/kλD2z1Sk1/kλD2z1=bxφz1,z2, x∈ℝNΛSk1/kλD2z2Sk1/kλD2z2=hxψz1,z2, x∈ℝN, where Λ is a nonlinear operator and b, h, φ, ψ are continuous functions.
Guotao Wang, Zhuobin Zhang
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