A survey on local and 2-local derivations on C*- and von Neuman algebras
Shavkat Ayupov, Karimbergen Kudaybergenov, and Antonio M. Peralta
TL;DR
This paper provides a comprehensive survey of the current research on local and 2-local derivations within C*-algebras, von Neumann algebras, and JB*-triples, highlighting key results and open problems.
Contribution
It systematically reviews existing results on local and 2-local derivations across various algebraic structures, consolidating knowledge and identifying future research directions.
Findings
Summarizes key theorems and classifications of derivations.
Identifies gaps and open problems in the field.
Provides a unified overview of derivation properties in operator algebras.
Abstract
We survey the results on local and 2-local derivations on C*-algebras, von Neumann algebras and JB*-triples.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Operator Algebra Research · Matrix Theory and Algorithms