Compact Endomorphisms and Closed Ideals in Banach Algebras

DOI10.2307/2045424zbMath0552.46025OpenAlexW4253328575MaRDI QIDQ3345286

Sandy Grabiner

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045424

zbMATH Keywords

multiplier algebraEvery infinite-dimensional Banach algebra with a nonzero compact endomorphism has a proper closed nonzero two-sided ideal

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Ideals, maximal ideals, boundaries (46J20) Ideals and subalgebras (46H10)

Cites Work

• Compact endomorphisms of Banach algebras
• Derivations and automorphisms of Banach algebras of power series
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