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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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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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Local Derivations of the Schrödinger Algebras

Algebra Colloquium
The present paper is devoted to studying local derivations on the Schrödinger algebra which is a finite-dimensional, non-semisimple and non-solvable Lie algebra. We prove that every local derivation on the Schrödinger algebra is a derivation.
Alauadinov, A. K., Yusupov, B. B.
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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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Derivatives and Locality in a Lattice

AIP Conference Proceedings, 2003
We study a nonlocal Dirac operator that preserves chiral symmetry an uniqueness. It is shown that this operator approaches to an ultralocal operator when the size of the lattice tends to zero.
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Locally Produced and Serum Derived Antibodies in "Local Immunity"

New England Journal of Medicine, 1971
In this issue of the Journal, Ogra and his coworkers present evidence that protection against nasopharyngeal reinfection with rubella virus requires the presence of antibody at that site, rather than in the serum. The appearance of nasopharyngeal antibody is best explained as a consequence of local rubella-virus replication of either wild or live ...
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