Results 11 to 20 of about 68,462 (263)
Local derivations on Witt algebras [PDF]
Linear and Multilinear Algebra, 2020 In this paper, we prove that every local derivation on Witt algebras $W_n, W_n^+$ or $W_n^{++} $ is a derivation for any $n\in\mathbb{N}$. As a consequence, we obtain that every local derivation on a centerless generalized Virasoro algebra of higher rank is a derivation.
Chen, Yang +2 more
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Local derivations and local automorphisms
Journal of Mathematical Analysis and Applications, 2004 It is shown that if \({\mathcal L}\) is a completely distributive commutative subspace lattice or a \({\mathcal J}\)-subspace lattice on a complex separable Hilbert space \(H\), then the space of all bounded derivations of \(\text{alg}({\mathcal L})\) is reflexive.
Hadwin, Don, Li, Jiankui
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Local derivations on $C^*$-algebras are derivations [PDF]
Transactions of the American Mathematical Society, 2000 A local derivation \(T\) from a \(C^*\)-algebra \(\mathfrak A\) into a Banach bimodule \({\mathfrak X}\) (i.e., a continuous operator \(T:{\mathfrak A}\to{\mathfrak X}\) s.t. for any \(a\in{\mathfrak A}\) there is a derivation \(D_a\) from \({\mathfrak A}\) to \({\mathfrak X}\) with \(D_a(a)=T(a)\)) is actually a derivation. For von Neumann algebras \({
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Annales Polonici Mathematici, 1983 Local derivatives of functions of several variables having values in a fixed Banach space are considered. Local derivatives of functions of one real variable with values in a Banach space were considered by \textit{J. Mikusiński} [in ''The Bochner Integral'', (1978; Zbl 0369.28010)], and earlier, in a Hilbert space by \textit{K. Skórnik} [in ''The form
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Covariant Derivative of Fermions and All That
Universe, 2022 We present detailed pedagogical derivation of covariant derivative of fermions and some related expressions, including commutator of covariant derivatives and energy-momentum tensor of a free Dirac field.
Ilya L. Shapiro
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Karpatsʹkì Matematičnì Publìkacìï, 2014 We prove that in a ring $R$ with an identity there exists an element $a\in R$ and a nonzero derivation $d\in Der R$ such that $ad(a)\neq 0$. A ring $R$ is said to be a $d$-rigid ring for some derivation $d \in Der R$ if $d(a)=0$ or $ad(a)\neq 0$ for all
O.D. Artemovych, M.P. Lukashenko
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Local BCJ numerators for ten-dimensional SYM at one loop
Journal of High Energy Physics, 2021 We obtain local numerators satisfying the BCJ color-kinematics duality at one loop for super-Yang-Mills theory in ten dimensions. This is done explicitly for six points via the field-theory limit of the genus-one open superstring correlators for ...
Elliot Bridges, Carlos R. Mafra
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Local linear scale factors in map projections in the direction of coordinate axes
Geo-spatial Information Science, 2021 This paper explains that the terms “horizontal and vertical scales” are not appropriate in map projections theory. Instead, the authors suggest using the term “scales in the direction of coordinate axes.” Since it is not possible to read a local linear ...
Miljenko Lapaine +2 more
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Derivations, local and 2-local derivations of standard operator algebras
, 2022 Let X be a Banach space over field F (R or C). Denote by B(X) the set of all bounded linear operators on X and by F(X) the set of all finite rank operators on X. A subalgebra A of B(X) is called a standard operator algebra if A contain F(X). We give a brief proof of a well-known result that every derivation from A into B(X) is inner.
He, Jun, Zhao, Haixia, An, Guangyu
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LOCAL DERIVATIONS ON ALGEBRAS OF MEASURABLE OPERATORS [PDF]
Communications in Contemporary Mathematics, 2011 The paper is devoted to local derivations on the algebra [Formula: see text] of τ-measurable operators affiliated with a von Neumann algebra [Formula: see text] and a faithful normal semi-finite trace τ. We prove that every local derivation on [Formula: see text] which is continuous in the measure topology, is in fact a derivation.
Albeverio, S. +3 more
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