Dales, H.G. and Millington, A. (1993) *Translation-invariant linear operators.* Mathematical Proceedings of the Cambridge Philosophical Society, 113 (1). pp. 191-172. ISSN 0305-0041

## Abstract

The theory of translation-invariant operators on various spaces of functions (or measures or distributions) is a well-trodden field. The problem is to decide, first, whether or not a linear operator between two function spaces on, say, xs211D or xs211D+ which commutes with one or many translations on the two spaces is necessarily continuous, and, second, to give a canonical form for all such continuous operators. In some cases each such operator is zero. The second problem is essentially the ‘multiplier problem’, and it has been extensively discussed; see [7], for example.

Item Type: | Journal Article |

Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society |

Additional Information: | http://journals.cambridge.org/action/displayJournal?jid=PSP The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 113 (1), pp 161-172 1993, © 1993 Cambridge University Press. |

Subjects: | |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 67614 |

Deposited By: | ep_importer_pure |

Deposited On: | 20 Nov 2013 11:59 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 22 May 2018 00:26 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/67614 |
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