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Translation-invariant linear operators

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

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    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: 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: 20 Sep 2017 01:42
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/67614

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