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Husk number (HN) and husk length (HL) influence the mechanical harvesting of maize grain. We investigated the genetic basis of HN and HL using a population of 204 recombinant inbred lines phenotypically evaluated in five environments. The two husk traits
Guangfei Zhou +9 more
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Spectrum-preserving additive maps
Let \(X,Y\) be Banach spaces over the complex field, and \(B(X),B(Y)\) denote the algebra of bounded linear operators on \(X,Y\) respectively. A map \(\Phi: B(X)\to B(Y)\) is said to be spectrum preserving if \(\sigma(\Phi(T))=\sigma(T)\), for every \(T\in B(X)\). The authors prove the following main result.
Omladič, Matjaž, Šemrl, Peter
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Characterizations of derivations [PDF]
The main purpose of this work is to characterize derivations through functional equations. This work consists of five chapters. In the first one, we summarize the most important notions and results from the theory of functional equations. In Chapter 2 we
Gselmann, Eszter
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Orthogonally additive mappings on Hilbert modules [PDF]
22 ...
Ilišević, Dijana +2 more
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Two generalizations of the Boltzmann equation [PDF]
We connect two different generalizations of Boltzmann's kinetic theory by requiring the same stationary solution. Non-extensive statistics can be produced by either using corresponding collision rates nonlinear in the one-particle densities or ...
Biro, T. S., Kaniadakis, G.
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A map \(f\) between Abelian topological groups is called quasi-additive if the function of two variables \(f(x+y)-f(x)-f(y)\) is continuous at the origin. Obvious examples are additive maps, maps which are continuous at the origin, and sums of such maps.
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Rank-permutable additive mappings
Additive bijective transformations \(T\) which preserve the matrix relation \[ \text{rk}(A_1 \cdots A_k)= \text{rk}(A_{\sigma(1)} \cdots A_{\sigma(k)}) \] for a fixed integer \(k \geq 2\) and an arbitrary fixed permutation \(\sigma \in S_k\) are classified.
Alieva, Anna A. +2 more
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Orthogonally additive holomorphic maps between C$^{*}$-algebras [PDF]
Let $A,B$ be C*-algebras, $B_A(0;r)$ the open ball in $A$ centered at $0$ with radius $r>0$, and $H:B_A(0;r)\to B$ an orthogonally additive holomorphic map. If $H$ is zero product preserving on positive elements in $B_A(0;r)$, we show, in the commutative case when $A=C_0(X)$ and $B=C_0(Y)$, that there exist weight functions $h_n$'s and a symbol map $
Bu, Qingying +2 more
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On a Functional Equation Related to Information Theory
The general solutions of a functional equation, without imposing any regularity condition on the mappings appearing in it, have been obtained. One solution of this functional equation is useful from information-theoretic point of view.
Prem Nath, Dhiraj Kumar Singh
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Generalized Hyers-Ulam-Rassias Theorem in Menger Probabilistic Normed Spaces
We introduce two reasonable versions of approximately additive functions in a Šerstnev probabilistic normed space endowed with Π𝑀 triangle function. More precisely, we show under some suitable conditions that an approximately additive function can be ...
M. Eshaghi Gordji +2 more
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