On the Beurling algebras -derivations and extensions.

Steiniger, Holger

Displaying similar documents to “On the Beurling algebras $A_{α}^{+} (𝔻)$ -derivations and extensions.”

A characterization of weakly amenable Banach algebras

Niels Groenbaek (1989)

Studia Mathematica

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Aspects of the theory of derivations

Gerard Murphy (1994)

Banach Center Publications

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We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.

The structure of homomorphisms from Banach algebras of differentiable functions into finite dimensional Banach algebras.

Ngo, Viet (1990)

International Journal of Mathematics and Mathematical Sciences

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Range inclusion results for derivations on noncommutative Banach algebras

Volker Runde (1993)

Studia Mathematica

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Let A be a Banach algebra, and let D : A → A be a (possibly unbounded) derivation. We are interested in two problems concerning the range of D: 1. When does D map into the (Jacobson) radical of A? 2. If [a,Da] = 0 for some a ∈ A, is Da necessarily quasinilpotent? We prove that derivations satisfying certain polynomial identities map into the radical. As an application, we show that if [a,[a,[a,Da]]] lies in the prime radical of A for all a ∈ A, then D maps into the radical. This generalizes...

Continuity of derivations on semi-prime Banach algebras.

Dumitru D. Draghia (1995)

Extracta Mathematicae

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The structure of a subclass of amenable Banach algebras.

El Harti, R. (2004)

International Journal of Mathematics and Mathematical Sciences

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Module structures on iterated duals of Banach algebras.

Bodaghi, A., Ettefagh, M., Eshaghi Gordji, M., Medghalchi, A.R. (2010)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Compactness of derivations from commutative Banach algebras

Matthew J. Heath (2010)

Banach Center Publications

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We consider the compactness of derivations from commutative Banach algebras into their dual modules. We show that if there are no compact derivations from a commutative Banach algebra, A, into its dual module, then there are no compact derivations from A into any symmetric A-bimodule; we also prove analogous results for weakly compact derivations and for bounded derivations of finite rank. We then characterise the compact derivations from the convolution algebra ℓ¹(ℤ₊) to its dual. Finally,...

Constructions preserving $n$ -weak amenability of Banach algebras

A. Jabbari, Mohammad Sal Moslehian, H. R. E. Vishki (2009)

Mathematica Bohemica

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A surjective bounded homomorphism fails to preserve $n$ -weak amenability, in general. We however show that it preserves the property if the involved homomorphism enjoys a right inverse. We examine this fact for certain homomorphisms on several Banach algebras.

Displaying similar documents to “On the Beurling algebras A α + ( 𝔻 ) -derivations and extensions.”

Displaying similar documents to “On the Beurling algebras $A_{α}^{+} (𝔻)$ -derivations and extensions.”