Results 21 to 30 of about 409,631 (265)
Proceedings of the American Mathematical Society, 2000 Summary: Each weak\(^*\) compact \(C^*\)-convex set in a hyperfinite factor (in particular in \(B({\mathcal H})\)) is the weak\(^*\) closure of the \(C^*\)-convex hull of its \(C^*\)-extreme points.
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Harmonic functions with varying coefficients
Journal of Inequalities and Applications, 2016 Complex-valued harmonic functions that are univalent and sense preserving in the open unit disk can be written in the form f = h + g ‾ $f=h+\overline{g}$ , where h and g are analytic.
Jacek Dziok +2 more
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A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]
Opuscula Mathematica, 2013 In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah +3 more
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Extreme points of ${\mathcal L}_s(^2l_{\infty})$ and ${\mathcal P}(^2l_{\infty})$
Karpatsʹkì Matematičnì Publìkacìï, 2021 For $n\geq 2,$ we show that every extreme point of the unit ball of ${\mathcal L}_s(^2l_{\infty}^n)$ is extreme in ${\mathcal L}_s(^2l_{\infty}^{n+1})$, which answers the question in [Period. Math. Hungar. 2018, 77 (2), 274-290].
Sung Guen Kim
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A short note on extreme points of certain polytopes
Special Matrices, 2020 We give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices.
Cao Lei, Hall Ariana, Koyuncu Selcuk
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Проблемы анализа, 2023 With the aid of 𝑞-calculus, this paper introduces a new generalized p𝑝, 𝑞q-Bernardi integral operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q. Then, we define a new subclass of harmonic p𝑝, 𝑞q-starlike functions of complex order associated with the operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q.
S. H. Hadi, M. Darus
doaj
Bohnenblust-Hille inequalities: analytical and computational aspects
Anais da Academia Brasileira de Ciências, 2018 The Bohnenblust-Hille polynomial and multilinear inequalities were proved in 1931 and the determination of exact values of their constants is still an open and challenging problem, pursued by various authors.
WASTHENNY V. CAVALCANTE +1 more
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Harmonic Starlike Functions with Respect to Symmetric Points
Axioms, 2019 In the paper we define classes of harmonic starlike functions with respect to symmetric points and obtain some analytic conditions for these classes of functions.
Nak Eun Cho, Jacek Dziok
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MathematicsWe start by an application the of Krein–Milman theorem to the integral representation of completely monotonic functions. Elements of convex optimization are also mentioned. The paper continues with applications of Hahn–Banach-type theorems and polynomial
Octav Olteanu
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Completely positive linear operators for Banach spaces
International Journal of Mathematics and Mathematical Sciences, 1994 Using ideas of Pisier, the concept of complete positivity is generalized in a different direction in this paper, where the Hilbert space ℋ is replaced with a Banach space and its conjugate linear dual.
Mingze Yang
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