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Unbounded derivations in operator algebras

✍ Scribed by Robert T Powers; Shôichirô Sakai

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
724 KB
Volume
19
Category
Article
ISSN
0022-1236

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📜 SIMILAR VOLUMES

Unbounded Derivations in AT Algebras
Unbounded Derivations in AT Algebras
✍ A Kishimoto 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 503 KB

Let A be a simple unital AT algebra of real rank zero such that it has a unique tracial state { and K 1 (A) is neither 0 nor Z. For each . # Hom(K 1 (A), R) with dense range in R we construct a closed derivation $ in A which generates a oneparameter automorphism group : of A such that {($(u) u\*)=2?

Local Derivations on Operator Algebras
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