# Properties of derivations on some convolution algebras

Open Mathematics (2014)

- Volume: 12, Issue: 5, page 742-751
- ISSN: 2391-5455

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topThomas Pedersen. "Properties of derivations on some convolution algebras." Open Mathematics 12.5 (2014): 742-751. <http://eudml.org/doc/269502>.

@article{ThomasPedersen2014,

abstract = {For all convolution algebras L 1[0, 1); L loc1 and A(ω) = ∩n L 1(ωn), the derivations are of the form D μ f = Xf * μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show that the extension of D μ to a natural dual space is weak-star continuous.},

author = {Thomas Pedersen},

journal = {Open Mathematics},

keywords = {Convolution algebras; Derivations; Compactness; Weak-star continuity; convolution algebras; derivations; compactness; weak* continuity},

language = {eng},

number = {5},

pages = {742-751},

title = {Properties of derivations on some convolution algebras},

url = {http://eudml.org/doc/269502},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Thomas Pedersen

TI - Properties of derivations on some convolution algebras

JO - Open Mathematics

PY - 2014

VL - 12

IS - 5

SP - 742

EP - 751

AB - For all convolution algebras L 1[0, 1); L loc1 and A(ω) = ∩n L 1(ωn), the derivations are of the form D μ f = Xf * μ for suitable measures μ, where (Xf)(t) = tf(t). We describe the (weakly) compact as well as the (weakly) Montel derivations on these algebras in terms of properties of the measure μ. Moreover, for all these algebras we show that the extension of D μ to a natural dual space is weak-star continuous.

LA - eng

KW - Convolution algebras; Derivations; Compactness; Weak-star continuity; convolution algebras; derivations; compactness; weak* continuity

UR - http://eudml.org/doc/269502

ER -

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