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Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras

open access: yesSiberian Mathematical Journal, 2018
We prove that every 2-local derivation from the algebra $M_n(\mathcal{A})(n>2)$ into its bimodule $M_n(\mathcal{M})$ is a derivation, where $\mathcal{A}$ is a unital Banach algebra and $\mathcal{M}$ is a unital $\mathcal{A}$-bimodule such that each Jordan derivation from $\mathcal{A}$ into $\mathcal{M}$ is an inner derivation, and that every 2-local
He, J., Li, J., An, G., Huang, W.
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Isoquinoline Derivatives As Local Anesthetics*

Journal of the American Pharmaceutical Association (Scientific ed.), 1952
The preparation, properties, and local anesthetic activity of a series of 1-aminoalkoxy-isoquinoline derivatives and the requisite 1-chloroisoquinoline intermediates are reported. In general, local anesthetic activity, as measured on the rabbit cornea, is maximal when the isoquinoline is substituted in the 3-position by a butyl group and in the 1 ...
E L, ANDERSON, J W, WILSON, G E, ULLYOT
openaire   +2 more sources

Local Derivations of Nest Algebras

Proceedings of the American Mathematical Society, 1995
Summary: Let \(X\) be an arbitrary reflexive Banach space, and let \({\mathcal N}\) be a nest on \(X\). Denote by \({\mathcal D} ({\mathcal N})\) the set of all derivations from \(\text{Alg } {\mathcal N}\) into \(\text{Alg } {\mathcal N}\). For \(N\subset {\mathcal N}\), we set \(N_-= \vee \{M\in {\mathcal N}: M\subset N\}\). We also write \(0_- =0\).
Han, Deguang, Wei, Shuyun
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APPROXIMATELY LOCAL DERIVATIONS

Journal of the London Mathematical Society, 2005
Let \(A\) be a Banach algebra, and let \(X\) be a Banach \(X\)-bimodule. A linear map \(D : A \to X\) is called a local derivation if, for each \(a \in A\), there is a derivation \(D_a : A \to X\) such that \(Da = D_a a\). Local derivations were introduced by \textit{R.\ V.\ Kadison} in [J. Algebra 130, No.
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Electron localization in polyaniline derivatives

Physical Review B, 1990
Electron localization in the methyl-ring-substituted derivative of polyaniline (PAN), poly(o-toluidine) (POT), has been investigated by transport and magnetic measurements. The HCl salt of POT shows greater electron localization than that of PAN due to decreased interchain diffusion rate caused by increased interchain separation and decreased ...
, Wang   +4 more
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Derivations and 2-Local Derivations on Matrix Algebras and Algebras of Locally Measurable Operators

Bulletin of the Malaysian Mathematical Sciences Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Huang, Wenbo, Li, Jiankui, Qian, Wenhua
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Chromatic Derivatives and Local Approximations

IEEE Transactions on Signal Processing, 2009
We present a detailed motivation for the notions of chromatic derivatives and chromatic expansions. Chromatic derivatives are special, numerically robust linear differential operators; chromatic expansions are the associated local expansions, which possess the best features of both the Taylor and the Nyquist expansions.
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On ε-derivations and local ε-derivations

Acta Mathematica Sinica, English Series, 2010
In this paper, we describe e-derivations in certain graded algebras by their actions on elements satisfying some special conditions. One of the main results is applied to local e-derivations on some certain graded algebras.
Ajda Fošner, Maja Fošner
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A Local Fractional Derivative

Volume 5: 19th Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C, 2003
A new definition of fractional order derivative is given and its basic properties are investigated. This definition is based on the Weyl derivative and is a local property of functions. It can be applied to non-differentiable functions and may be useful for studying fractal curves.
Xiaorang Li   +2 more
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Local Gauss sums and local derivatives

1991
Abstract In the first two sections of this chapter, we define local Gauss sums as integrals in Haar measure, and we prove some basic theorems evaluating their absolute values. The methods of proof are classical. In the last two sections, we apply these evaluations to compute some local Radon Nikodym derivatives.
Gove W Effinger, David R Hayes
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