Results 11 to 20 of about 2,897,129 (311)
THE NEARLY ADDITIVE MAPS [PDF]
Bulletin of the Korean Mathematical Society, 2009 This note is a verification on the relations between almost lin- ear and nearly additive maps; and the continuity of almost multiplicative nearly additive maps. Also we consider the stability of nearly additive and almost linear maps.
Esmaeeil Ansari-Piri, Nasrin Eghbali
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Additive maps on prime and semiprime rings with involution
Hacettepe Journal of Mathematics and Statistics, 2019 Let $R$ be an associative ring. An additive map $x\mapsto x^*$ of $R$ into itself is called an involution if (i) $(xy)^*=y^*x^*$ and (ii) $(x^*)^*=x$ hold for all $x\in R$.
Adel Alahmadi +4 more
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On Supra-Additive and Supra-Multiplicative Maps
Journal of Function Spaces and Applications, 2013 Let A and B be ordered algebras over ℝ, where A has a generating positive cone and B satisfies the property that b2>0 if 0≠b∈B. We give some conditions for a map T:A→B which is supra-additive and supra-multiplicative for all positive and negative ...
Jin Xi Chen, Zi Li Chen
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Journal of Inequalities and Applications, 2017 Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, 2015), we obtain the Riesz integral representation for continuous linear maps associated with ...
Zhaoqi Ji +3 more
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Additive Maps of Rank k Bivectors
The Electronic Journal of Linear Algebra, 2021 Let ${\cal U}$ and ${\cal V}$ be linear spaces over fields $\mathbb{F}$ and $\mathbb{K}$, respectively, such that Dim$\,{\cal U}=n\geqslant 2$ and $\left|\mathbb{F}\right|\geqslant 3$. Let $\bigwedge^2{\cal U}$ be the second exterior power of ${\cal U}$. Fixing an even integer $k$ satisfying $\frac{n-1}{2}\leqslant k\leqslant n$, it is shown that a map
Chooi, Wai Leong, Kwa, Kiam Heong
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On orthogonally additive mappings, IV
Aequationes Mathematicae, 1989 [For part II see the first author, Publ. Math. 35, No.3/4, 241-249 (1988; reviewed above).] Let \(\Phi\) denote a field of characteristic \(\neq 2\), X a \(\Phi\)-vector space of dimension \(\geq 2\) and \((Y,+)\) an abelian group. Furthermore let \(\perp\), which is called orthogonality on X, be a binary relation satisfying certain appropriate ...
Rätz, J., Szabó, Gy.
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Monotonicity is a key feature of genotype-phenotype maps
Frontiers in Genetics, 2013 It was recently shown that monotone gene action, i.e. order-preservation between allele content and corresponding genotypic values in the mapping from genotypes to phenotypes, is a prerequisite for achieving a predictable parent-offspring relationship ...
Arne Bjørke Gjuvsland +4 more
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Functional Inequalities Associated with Additive Mappings [PDF]
Abstract and Applied Analysis, 2008 The functional inequality ∥f(x) + 2f(y) + 2f(z)∥ ≤ ∥2f(x/2 + y + z)∥ + ϕ (x, y, z) (x, y, z ∈ G) is investigated, where G is a group divisible by 2, f : G → X and ϕ : G3 → [0, ∞) are mappings, and X is a Banach space. The main result of the paper states that the assumptions above together with (1) ϕ(2x, −x, 0) = 0 = ϕ(0, x, −x) (x ∈ G) and (2) limn ...
Roh, Jaiok, Chang, Ick-Soon
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Generalized Local Operators Between Function Modules
پژوهشهای ریاضی, 2021 Let X be a compact Hausdorff space, E be a normed space, A(X,E) be a regular Banach function algebra on X , and A(X,E) be a subspace of C(X,E) . In this paper, first we introduce the notion of localness of an additive map S:A(X,E) → C(X,E) with respect ...
Fereshteh Sady, Masoumeh Najafi Tavani
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Crop Journal, 2015 QTL IciMapping is freely available public software capable of building high-density linkage maps and mapping quantitative trait loci (QTL) in biparental populations.
Lei Meng +3 more
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