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A specific form of Grothendieck inequality for the 2-dimensional case, with applications to c-asterisk algebras.

Jameson, G. J. O. (1994) A specific form of Grothendieck inequality for the 2-dimensional case, with applications to c-asterisk algebras. Proceedings of the Edinburgh Mathematical Society, 37 (3). pp. 521-537. ISSN 0013-0915

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    Abstract

    We characterize bilinear forms V on such that V(e, e) = V = 1 in terms of their matrices. For such V we prove that |V(x, y)|2≦φ(|x|2)ψ(|y|2) for all x, y, where φ(x)= V(x, e), ψ(y) = V(e, y). Some other properties of such forms are given.

    Item Type: Article
    Journal or Publication Title: Proceedings of the Edinburgh Mathematical Society
    Additional Information: http://journals.cambridge.org/action/displayJournal?jid=UHY The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 37 (3), pp 521-537 1994, © 1994 Cambridge University Press.
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 19610
    Deposited By: ep_ss_importer
    Deposited On: 12 Nov 2008 15:30
    Refereed?: Yes
    Published?: Published
    Last Modified: 14 Oct 2013 12:55
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/19610

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