Noetherian Banach algebras are finite dimensional
β Scribed by Allan M. Sinclair; Alan W. Tullo
- Book ID
- 105164591
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 174 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove that any finite dimensional nilpotent commutative Banach algebra can be embedded isometrically into a commutative amenable Banach algebra, whose approximate diagonal is bounded by one. This amenable algebra is constructed by means of a quotient of a Fourier algebra by a closed ideal, whose
We prove that if A is a non-associative algebra over the field of real numbers, if 5 5 5 5 5 5 5 5 there is a norm ΠΈ on A satisfying xy s x y for all x, y in A, and if every one-generated subalgebra of A is finite-dimensional, then A is finite-dimensional.