Results 11 to 20 of about 96,981 (305)

2-Local derivations and automorphisms on $B(H)$

open access: yesJournal of Mathematical Analysis and Applications, 2011
The paper is devoted to 2-local derivations and 2-local automorphisms on the algebra $B(H)$ of all bounded linear operators on a Hilbert space $H.$ We prove that every 2-local derivation on $B(H)$ is a derivation. A similar result is obtained for automorphisms.
Ayupov, Sh., Kudaybergenov, K.
openaire   +3 more sources

2-Local derivations on finite-dimensional Lie algebras [PDF]

open access: yesLinear Algebra and its Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shavkat Ayupov   +2 more
openaire   +2 more sources

TWO METHODS OF DESCRIBING 2-LOCAL DERIVATIONS AND AUTOMORPHISMS [PDF]

open access: yesUral Mathematical Journal
In the present paper, we investigate 2-local linear operators on vector spaces. Sufficient conditions are obtained for the linearity of a 2-local linear operator on a finite-dimensional vector space. To do this, families of matrices of a certain type are
Farhodjon Arzikulov   +2 more
doaj   +2 more sources

2-LOCAL DERIVATIONS ON SEMI-FINITE VON NEUMANN ALGEBRAS [PDF]

open access: yesGlasgow Mathematical Journal, 2013
AbstractIn the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.
Ayupov, Shavkat, Arzikulov, Farkhad
openaire   +5 more sources

Weak 2-Local Inner Derivations of Semiprime ∗-Banach Algebras

open access: yesMathematics
This paper introduces and examines the concept of weak 2-local inner derivations and their relationship to P-2-local mappings. It is established that every such mapping on a semiprime ∗-Banach algebra with a faithful trace is a derivation, which also ...
Boxian Li, Xiangqi Qiang
doaj   +2 more sources

2-local derivations on Virasoro algebras

open access: yesBulletin of National University of Uzbekistan: Mathematics and Natural Sciences, 2019
The present paper is devoted to study 2-local derivations on infinite-dimensional Lie algebras over a field of characteristic zero. We show that every derivation on Virasoro algebra is inner and prove that all 2-local derivations on this algebra is a ...
Shavkat Ayupov, Bakhtiyor Yusupov
openaire   +3 more sources

2-Local derivations of infinite-dimensional Lie algebras [PDF]

open access: yesJournal of Algebra and Its Applications, 2019
In the present paper, we study 2-local derivations of infinite-dimensional Lie algebras over a field of characteristic zero. We prove that all 2-local derivations of the Witt algebra as well as of the positive Witt algebra and the classical one-sided Witt algebra are (global) derivations.
Ayupov, Shavkat, Yusupov, Baxtiyor
openaire   +2 more sources

Density matrices in integrable face models

open access: yesSciPost Physics, 2021
Using the properties of the local Boltzmann weights of integrable interaction-round-a-face (IRF or face) models we express local operators in terms of generalized transfer matrices.
Holger Frahm, Daniel Westerfeld
doaj   +1 more source

$2$-local derivations on algebras of locally measurable operators [PDF]

open access: yesAnnals of Functional Analysis, 2013
The paper is devoted to 2-local derivations on the algebra $LS(M)$ of all locally measurable operators affiliated with a type I$_\infty$ von Neumann algebra $M.$ We prove that every 2-local derivation on $LS(M)$ is a derivation.
Abdullaevich Ayupov, Shavkat   +2 more
openaire   +6 more sources

Detailed derivation of local flux.

open access: yes, 2021
The full detailed derivation of the flux terms based on local interactions given in the model derivation section. (PDF)
J. E. F. Green (3189057)   +4 more
core   +1 more source

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