Topic
Coimage
About: Coimage is a research topic. Over the lifetime, 124 publications have been published within this topic receiving 1012 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, the n -Jordan homomorphisms on Banach algebras were investigated and some results related to continuity were given as well as some results about continuity.
Abstract: Let n ∈ℕ and let A and B be rings. An additive map h : A → B is called an n -Jordan homomorphism if h ( a n )=( h ( a )) n for all a ∈ A . Every Jordan homomorphism is an n -Jordan homomorphism, for all n ≥2, but the converse is false in general. In this paper we investigate the n -Jordan homomorphisms on Banach algebras. Some results related to continuity are given as well.
111 citations
61 citations
60 citations
TL;DR: In this article, it was shown that any invariant differential operator that kills 0(Q), the algebra of invariant functions on 0, also kills all invariant distributions on a real form of g.
Abstract: Let 0 be a reductive, complex Lie algebra, with adjoint group G, let G act on the ring of differential operators ^(g) via the adjoint action and write r : Q —» ^(fl) for the differential of this action. A classic result of Harish-Chandra shows that any invariant differential operator that kills 0(Q), the algebra of invariant functions on 0, also kills all invariant distributions on a real form of g. In this paper we generalize this result by showing that ^(Q)r(Q)={e^D(Q):e(0(Q))=0}. This answers a question raised by Dixmier, by Wallach and by Schwarz.
43 citations
35 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2018 | 2 |
| 2017 | 6 |
| 2016 | 8 |
| 2015 | 1 |
| 2014 | 14 |
| 2013 | 4 |