Point derivations on function algebras

Derivations on LMC*-Algebras

✍ R. Becker 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 531 KB

## Abstract It is shown that derivations on LMC\*‐algebras are always continuous and generate a continuous one‐parameter group of automorphisms. The structure of the derivation and the automorphism group on LMC\*‐algebras is investigated.

Lie Derivations on Banach Algebras

✍ A.R. Villena 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 207 KB

Local Derivations on Operator Algebras

✍ Randall L. Crist 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 553 KB

When attempting to find sufficient conditions for a linear mapping to be a derivation, an obvious candidate is the concept of a local derivation. Local derivations on operator algebras have been investigated in recent papers of Kadison (J. Algebra 130 (1990), 494 509) and Larson and Sourour (Proc. S

Ring Derivations on Standard Operator Al

Ring Derivations on Standard Operator Algebras

✍ P. Semrl 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 211 KB

Lie triple derivations on nest algebras

✍ Fangyan Lu 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 102 KB

## Abstract Let __δ__ be a Lie triple derivation from a nest algebra 𝒜 into an 𝒜‐bimodule ℳ︁. We show that if ℳ︁ is a weak\* closed operator algebra containing 𝒜 then there are an element __S__ ∈ ℳ︁ and a linear functional __f__ on 𝒜 such that __δ__ (__A__) = __SA__ – __AS__ + __f__ (__A__)__I__ fo

Inner Derivations on σ-C*-Algebras

✍ N. Christopher Phillips 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 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