Results 131 to 140 of about 119,025 (170)

On orthogonally additive mappings. II

Publicationes Mathematicae Debrecen, 1989
[For part I see Aequationes Math. 28, 35-49 (1985; Zbl 0569.39006).] Let \({\mathfrak K}\) be an ordered field, \({\mathfrak X}\) a \({\mathfrak K}\)-vector space with \(\dim_{{\mathfrak K}}{\mathfrak X}\geq 2\), and \(\perp\) a binary relation on \({\mathfrak X}\) with four appropriate properties.
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When are ∨-additive mappings multiplicative?

Journal of Algebra and Its Applications
In the spirit of some earlier studies of the authors, we discuss the alienation problem for ∨-additive and multiplicative mappings. This study enables us to answer two questions that were left open in [B. Al Subaiei and N. Jarboui, On the monoid of unital endomorphisms of a Boolean ring, Axioms 10(4) (2021) 305].
Noômen Jarboui, Bana Al Subaiei
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Fuzzy approximately additive mappings

2010
Moslehian  and Mirmostafaee, investigated the fuzzystability problems for the Cauchy additive functional equation, the Jensen additivefunctional equation and the cubic functional equation in fuzzyBanach spaces. In this paper, we investigate thegeneralized Hyers–-Ulam--Rassias stability of the generalizedadditive functional equation with $n$--variables,
Khodaei, H., Kamyar, M.
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Additive mappings preserving commutativity

Linear and Multilinear Algebra, 1997
The general form of additive surjective mappings on Mn which preserve commutativity in both directions is given.
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Additive maps on invertible matrices

Linear and Multilinear Algebra, 2015
Let be the ring of all matrices over a field . It is proved that a map is additive if and only if for all , the set of all invertible matrices over .
Xiaowei Xu, Yue Pei, Xiaofei Yi
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Additive Nearest Neighbor Feature Maps

2015 IEEE International Conference on Computer Vision (ICCV), 2015
In this paper, we present a concise framework to approximately construct feature maps for nonlinear additive kernels such as the Intersection, Hellinger's, and χ2 kernels. The core idea is to construct for each individual feature a set of anchor points and assign to every query the feature map of its nearest neighbor or the weighted combination ...
Zhenzhen Wang, Xiao-Tong Yuan, Qingshan Liu, Shuicheng Yan   +3 more
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Indefinite orthogonality preserving additive maps

Archiv der Mathematik, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cui, Jianlian, Hou, Jinchuan, Park, Chun-Gil   +2 more
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Additive Mappings Preserving Rank–one Idempotents

Acta Mathematica Sinica, English Series, 2005
This paper presents a remarkable contribution to the study of additive preservers. It is well-known that the different kinds of rank-one preservers play important roles in the solution of many preserver problems. In the paper under review, the author deals with additive maps preserving idempotents of rank at most one.
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On Approximately Additive Mappings

1980
The stability question for additive mappings under various conditions on their domains and ranges is studied. The main aspects are existence, uniqueness, and continuity of an approximating additive mapping (Sections 4 and 5). Suitable examples demonstrate the limits of the scope of our theorems (Section 6).
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Additive maps on hermitian matrices

Linear and Multilinear Algebra, 2007
Suppose is a field with proper involution and of arbitrary characteristic. Additive maps, which do not increase rank-one on hermitian matrices with entries from are classified. The result is then used to classify additive maps that do not increase minimal rank on the set of symmetric elements, relative to general involution on a matrix algebra.
M. Orel, B. Kuzma
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