𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lie Derivations on Banach Algebras

✍ Scribed by A.R. Villena


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
207 KB
Volume
226
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Lie triple derivations on nest algebras
✍ Fangyan Lu πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 102 KB

## Abstract Let __Ξ΄__ be a Lie triple derivation from a nest algebra π’œ into an π’œβ€bimodule ℳ︁. We show that if ℳ︁ is a weak\* closed operator algebra containing π’œ then there are an element __S__ ∈ ℳ︁ and a linear functional __f__ on π’œ such that __Ξ΄__ (__A__) = __SA__ – __AS__ + __f__ (__A__)__I__ fo

Generalized Derivations of Lie Algebras
✍ George F. Leger; Eugene M. Luks πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 258 KB

166 leger and luks some applications of the main results to the study of functions f ∈ Hom L L such that f β€’ Β΅ or Β΅ β€’ f ∧ I L defines a Lie multiplication.

On the Simplicity of Lie Algebras of Der
✍ David A. Jordan πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 72 KB

Let R be a commutative algebra over a field k. We prove two related results on the simplicity of Lie algebras acting as derivations of R. If D is both a Lie subalgebra and R-submodule of Der k R such that R is D-simple and either char k = 2 or D is not cyclic as an R-module or D R = R, then we show

Quasinilpotent Banach–Lie Algebras Are B
✍ Wojciech WojtyΕ„ski πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 179 KB

It is proved that for a Banach Lie algebra L the Baker Campbell Hausdorff series converges for any pair a, b # L if and only if for each c # L the adjoint operator ad c is quasi-nilpotent.

Inner Derivations on Οƒ-C*-Algebras
✍ N. Christopher Phillips πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 266 KB

We prove the following two improvements of a result of BECKER. (1) If A is a pro-C\*-algebra, then every derivation on A is approximately inner. (2) If A is a separable a-C\*-algebra, and ifevery C\* quotient of A has the property that every derivation on it is inner, then also every derivation on A