Standard ideals in convolution Sobolev algebras on the half-line

José E. Galé; Antoni Wawrzyńczyk

Colloquium Mathematicae (2011)

  • Volume: 124, Issue: 1, page 23-34
  • ISSN: 0010-1354

Abstract

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We study the relation between standard ideals of the convolution Sobolev algebra ( n ) ( t ) and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in ( n ) ( t ) with compact and countable hull are standard.

How to cite

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José E. Galé, and Antoni Wawrzyńczyk. "Standard ideals in convolution Sobolev algebras on the half-line." Colloquium Mathematicae 124.1 (2011): 23-34. <http://eudml.org/doc/284085>.

@article{JoséE2011,
abstract = {We study the relation between standard ideals of the convolution Sobolev algebra $₊^\{(n)\}(tⁿ)$ and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in $₊^\{(n)\}(tⁿ)$ with compact and countable hull are standard.},
author = {José E. Galé, Antoni Wawrzyńczyk},
journal = {Colloquium Mathematicae},
keywords = {standard ideal; convolution Sobolev algebra; Laplace transform},
language = {eng},
number = {1},
pages = {23-34},
title = {Standard ideals in convolution Sobolev algebras on the half-line},
url = {http://eudml.org/doc/284085},
volume = {124},
year = {2011},
}

TY - JOUR
AU - José E. Galé
AU - Antoni Wawrzyńczyk
TI - Standard ideals in convolution Sobolev algebras on the half-line
JO - Colloquium Mathematicae
PY - 2011
VL - 124
IS - 1
SP - 23
EP - 34
AB - We study the relation between standard ideals of the convolution Sobolev algebra $₊^{(n)}(tⁿ)$ and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in $₊^{(n)}(tⁿ)$ with compact and countable hull are standard.
LA - eng
KW - standard ideal; convolution Sobolev algebra; Laplace transform
UR - http://eudml.org/doc/284085
ER -

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