A nonstandard ideal of a radical Banach algebra of power series

DOI10.1007/BF02392197zbMath0563.46030MaRDI QIDQ5902713

Marc P. Thomas

Publication date: 1984

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

standard idealsnonstandard idealsradical algebra weightradical Banach algebras of power series

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Ideals, maximal ideals, boundaries (46J20)

Related Items

On the unicellularity of \(\ell ^ p(w)\) ⋮ Prime-like elements and semi-direct products in commutative Banach algebras ⋮ Closed ideals in the Banach algebra ℓ¹(ω) when ω is ∈-star shaped ⋮ Amenable and weakly amenable Banach algebras with compact multiplication ⋮ Invariant subspaces of operator algebras ⋮ Convergent expansions and bounded operators in the umbral calculus

Cites Work

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• Closed ideals of \(l^ 1(\omega_ n)\) when \(\{\omega_ n\}\) is star- shaped
• Multipliers of radical Banach algebras of power series
• Closed ideals and bi-orthogonal systems in radical Banach algebras of power series
• A Non-Standard Closed Subalgebra of a Radical Banach Algebra of Power Series
• Weighted Shifts and Banach Algebras of Power Series