Noetherian Banach algebras are finite dimensional

DOI10.1007/BF01344169zbMath0275.46037MaRDI QIDQ2265634

Allan M. Sinclair, Alan W. Tullo

Publication date: 1974

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162641

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) General theory of topological algebras (46H05)

Related Items (16)

On the spectrum of a class of non-commutative Banach algebras ⋮ Gelfand-Mazur theorems in normed algebras: a survey ⋮ On Bernstein Algebras Satisfying Chain Conditions ⋮ Generalized Fitting modules and rings. ⋮ Krull dimension for \(\mathrm{C}^{\star}\)-algebras ⋮ TOPOLOGICALLY NOETHERIAN BANACH ALGEBRAS ⋮ On Jordan Banach Algebras with Countably Generated Inner Ideals ⋮ Invariants of algebraic derivations and automorphisms in Banach algebras ⋮ When does a closed ideal of a commutative unital Banach algebra contain a dense subideal? ⋮ On Bernstein Algebras Satisfying Chain Conditions ⋮ Topologically Noetherian Banach algebras ⋮ Primary decomposition in incomplete Noetherian algebras ⋮ On some Gelfand-Mazur like theorems in Banach algebras ⋮ Chain conditions for \(C^\ast\)-algebras coming from Hilbert \(C^\ast\)-modules ⋮ Noetherian Jordan Banach algebras are finite-dimensional ⋮ On finiteness properties of Noetherian (Artinian) C*-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transformations between Banach spaces in the uniform topology
• Shorter Notes: The Nilpotency of Banach Nil Algebras
• Ring Isomorphisms of Banach Algebras

This page was built for publication: Noetherian Banach algebras are finite dimensional