On maximal commutative algebras of linear transformations
β Scribed by William H Gustafson
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 365 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let R be a commutative algebra over a field k. We prove two related results on the simplicity of Lie algebras acting as derivations of R. If D is both a Lie subalgebra and R-submodule of Der k R such that R is D-simple and either char k = 2 or D is not cyclic as an R-module or D R = R, then we show
## Abstract In this paper, we propose a new method to characterize in terms of βquasiβtopologyβ the image of Gelfand transform of commutative Banach algebras. Our studies in this paper were inspired by the work of R. Doss in 1967β1968. Among other things, we consider a generalization of Doss' resu