Properties of derivations on some convolution algebras

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Properties of derivations on some convolution algebras. / Pedersen, Thomas Vils.

In: Central European Journal of Mathematics, Vol. 12, No. 5, 2014, p. 742-751.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Pedersen, TV 2014, 'Properties of derivations on some convolution algebras', Central European Journal of Mathematics, vol. 12, no. 5, pp. 742-751. https://doi.org/10.2478/s11533-013-0373-y

APA

Pedersen, T. V. (2014). Properties of derivations on some convolution algebras. Central European Journal of Mathematics, 12(5), 742-751. https://doi.org/10.2478/s11533-013-0373-y

Vancouver

Pedersen TV. Properties of derivations on some convolution algebras. Central European Journal of Mathematics. 2014;12(5):742-751. https://doi.org/10.2478/s11533-013-0373-y

Author

Pedersen, Thomas Vils. / Properties of derivations on some convolution algebras. In: Central European Journal of Mathematics. 2014 ; Vol. 12, No. 5. pp. 742-751.

Bibtex

@article{0e856a30d23543d388d421b7074b6f26,
title = "Properties of derivations on some convolution algebras",
abstract = "For all convolution algebras L1[0; 1); L1 loc and A(!) = T n L1(!n), the derivations are of the form Dμf = 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 showthat the extension of Dμ to a natural dual space is weak-star continuous.",
author = "Pedersen, {Thomas Vils}",
year = "2014",
doi = "10.2478/s11533-013-0373-y",
language = "English",
volume = "12",
pages = "742--751",
journal = "Central European Journal of Mathematics",
issn = "1895-1074",
publisher = "Versita",
number = "5",

}

RIS

TY - JOUR

T1 - Properties of derivations on some convolution algebras

AU - Pedersen, Thomas Vils

PY - 2014

Y1 - 2014

N2 - For all convolution algebras L1[0; 1); L1 loc and A(!) = T n L1(!n), the derivations are of the form Dμf = 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 showthat the extension of Dμ to a natural dual space is weak-star continuous.

AB - For all convolution algebras L1[0; 1); L1 loc and A(!) = T n L1(!n), the derivations are of the form Dμf = 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 showthat the extension of Dμ to a natural dual space is weak-star continuous.

U2 - 10.2478/s11533-013-0373-y

DO - 10.2478/s11533-013-0373-y

M3 - Journal article

VL - 12

SP - 742

EP - 751

JO - Central European Journal of Mathematics

JF - Central European Journal of Mathematics

SN - 1895-1074

IS - 5

ER -

ID: 108651643