On the Beurling algebras A α + ( 𝔻 ) derivations and extensions

Holger Steiniger

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-23

Abstract:

Based on a description of the squares of cofinite primary ideals of A α + ( 𝔻 ) , we prove the following results: for α ≥ 1 , there exists a derivation from A α + ( 𝔻 ) into a finite-dimensional module such that this derivation is unbounded on every dense subalgebra; for m ∈ ℕ and α ∈ [ m , m + 1 ) , every finite-dimensional extension of A α + ( 𝔻 ) splits algebraically if and only if α ≥ m + 1 / 2 .

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:352976

DOI: 10.1155/S0161171204309270

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