Local derivations and local automorphisms

By D. Hadwin, Jiankui Li. 2004

98 citations recorded by the source corpus.

In this paper, we show that if L is a completely distributive commutative subspace lattice or a J-subspace lattice, then the space of all bounded derivations of algL is reflexive. We also study when local automorphisms on some algebras are automorphisms.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3a47a82449d3c827a93fa7b092fcf6c9f27c15a4

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In Algebra and Number Theory

1. Jiankui Li
2. D. Hadwin
3. Dominik Benkovič

In Mathematical Physics

1. Jiankui Li
2. D. Hadwin
3. Dominik Benkovič

Citations in the corpus

• Characterizing Jordan maps on C*-algebras through zero products (2010, background): “It should be pointed out that condition (D1) has proved to be useful for studying local derivations [1,12].”
• LOCAL DERIVATIONS AND LOCAL AUTOMORPHISMS ON SOME ALGEBRAS (2008, methodology): “3 of [10], it follows that every rank one operator of Ai is a linear combination of some idempotents of Ai.”