Results 41 to 50 of about 5,200,905 (357)
Derivations, derivatives and chain rules
Linear Algebra and its Applications, 1999 AbstractFor a smooth function f on the space of bounded operators in a Hilbert space, we obtain formulas for the nth order commutator [[[f(A),X],X],…,X] in terms of the Fréchet derivatives Dmf(A). We illustrate the use of these formulas in obtaining bounds for norms of generalised commutators f(A)X−Xf(B) and their higher order analogues.
Kalyan B. Sinha, Rajendra Bhatia
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Some differential identities in prime $gamma$ rings
Boletim da Sociedade Paranaense de Matemática, 2014 Let $M$ be a prime $\Gamma$-ring and $U$ be a nonzero ideal of $M$. An additive mapping $d:M\longrightarrow M,$ where $M$ is a $\Gamma$-ring, is called a derivation if for any $a,b\in M$ and$\alpha \in \Gamma$, $d(a\alpha b)=d(a)\alpha b+a\alpha d(b ...
Mohammad Ashraf, Malik Rashid Jamal
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Nature Physics, 2013 The intrinsic complexity of the financial derivatives market has emerged as both an incentive to engage in it, and a key source of its inherent instability. Regulators now faced with the challenge of taming this beast may find inspiration in the budding science of complex systems.
Battiston S. +4 more
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On Implicative Derivations of MTL-Algebras
Axioms, 2022 This paper introduces the implicative derivations and gives some of their characterizations on MTL-algebras. Furthermore, we provide some representation of MTL-algebras by implicative derivations and obtain some representation of Boolean algebra via the ...
Jianxin Liu +3 more
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Generalized derivations of Lie triple systems [PDF]
, 2014 In this paper, we present some basic properties concerning the derivation algebra Der (T), the quasiderivation algebra QDer (T) and the generalized derivation algebra GDer (T) of a Lie triple system T, with the relationship Der (T) ⊆ QDer (T) ⊆ GDer (T) ⊆
J. Zhou, Liangyun Chen, Yao Ma
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AIMS MathematicsThis paper aims to establish the following: Let $ \Omega $ be a ring that satisfies some conditions and has an idempotent element $ f\neq 0, 1 $. We intend to show that if $ G $ is any suitable multiplicative generalized CE-derivation of $ \Omega $, then
M. S. Tammam El-Sayiad +1 more
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A survey on local and 2-local derivations on C*- and von Neuman algebras [PDF]
, 2014 We survey the results on local and 2-local derivations on C*-algebras, von Neumann algebras and JB*-triples.
Sh. A. Ayupov +2 more
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, 2017 This paper presents a brief survey of the current state of the derivations in semirings.This paper presents a brief survey of the current state of the derivations in semirings.
S. Dimitrov
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On derivations with respect to finite sets of smooth functions
, 2017 The purpose of this paper is to show that functions that derivate the two-variable product function and one of the exponential, trigonometric or hyperbolic functions are also standard derivations. The more general problem considered is to describe finite
Grünwald, Richárd, Páles, Zsolt
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On semiderivations of *-prime rings
Boletim da Sociedade Paranaense de Matemática, 2015 Let R be a ∗-prime ring with involution ∗ and center Z(R). An additive mapping F:R→R is called a semiderivation if there exists a function g:R→R such that (i) F(xy)=F(x)g(y)+xF(y)=F(x)y+g(x)F(y) and (ii) F(g(x))=g(F(x)) hold for all x,y∈R. In the present
Öznur Gölbaşı, Onur Ağırtıcı
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