On spectrally finite Fréchet algebras
We show that a spectrally finite Fréchet algebra is finite-dimensional modulo its Jacobson radical. If moreover, the algebra has no nonzero quasi-nilpotent elements, then it is semi-simple and commutative and so isomorphic to ℂn for an integer n∈ ℕ.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University Constantin Brancusi of Targu-Jiu
2022-09-01
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| Series: | Surveys in Mathematics and its Applications |
| Subjects: | |
| Online Access: | http://www.utgjiu.ro/math/sma/v17/p17_17.pdf |