2-local derivationThe present paper is devoted to the study of 2-local derivations on the Schrdinger-Virasoro Algebra, which is an infinite-dimensional Lie algebra with three outer derivations. We prove that all 2-local derivations on the Schrdinger-Virasoro Algebra are derivations....
∗-2-local derivations weak-2-inner derivations 2-local lie ∗-isomorphisms 2020 Mathematics Subject Classifications: Primary 47B49 Secondary 47B47 Disclosure statement No potential conflict of interest was reported by the author(s). Additional information ...
Local and 2-local derivations on noncommutative Arens algebras. Math. Slovaca, 2014, 64(2): 423-432.Sh. A. Ayupov, K. K. Kudaybergenov, B. O. Nurjanov, A. K. Alauadinov, Local and 2-Local derivations on noncommutative Arens algebras, Math. Slovaca, Vol. 64, No 2, (2014) ...
Weak*-2-Local Derivations on Semi-finite von Neumann Algebras We prove that every weak \\(^*\\) -2-local derivation on a semi-finite von Neumann algebra is a derivation. Consequently, each weak-2-local derivation on a... B Yang,C Hou - 《Complex Analysis & Operator Theory》...
We prove that every {m(}not necessarily linear nor continuous{m)} 2-localtriple derivation on a von Neumann algebra $M$ is a triple derivation,equivalently, the set Der$_{t} (M)$, of all triple derivations on $M,$ isalgebraically 2-reflexive in the set $\\\mathcal{M}(M)= M^M...
hold. The notions of 2-local derivations, 2-local isometries, etc. can be defined on appropriate structures analogously. The context in which said types of transformations are generally studied is that of operator algebras, function algebras, and various classes of abstract algebras. The purpose of...
We recall that 2-local ⁎-derivations and 2-local ⁎-homomorphisms are weak-2-local ⁎-derivations and weak-2-local ⁎-homomorphisms, respectively. Corollary 2.7 Every 2-local ⁎-homomorphism between ⁎C⁎-algebras is linear. The main result in [7] proves that every 2-local ...
derivationsofB(X),whereXisaBanachSpace.Sincethen,aconsiderableamountofwork hasbeendoneconcerninglocalderivationsofvariousalgebras(see,forexample,[3—7]). Thisinvestigationwasmotivatedbythestudyofthecohomologyprogramforopera— toralgebrasintroducedandstudiedin[8,93andthequestion(see,[10])raisedbyKadi— ...
After some derivations, we will arrive at v L = ∂w ∂T 1 − y w ∂w ∂y + 1 4 − 1 4 − 1 w + y 2 w 2 ∂w ∂y 2 + 1 2 ∂ 2 w ∂y 2 . (2.2.6) When there is no skew, ∂w ∂y = 0, we have v L = ∂w ∂T , and the implied...
等价刻画了M3(C)中代数A的导子,局部导子,半局部广义导子,双局部导子,保核值映射。 2. In this paper, first, we prove that the local derivations on JBW-algebras are derivations, next, we give an example to show that the local inner derivation may not be in-ner derivation, last, we give...