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

Research output: Contribution to journalJournal article

Published

Journal publication date10/1994
JournalProceedings of the Edinburgh Mathematical Society
Journal number3
Volume37
Number of pages17
Pages521-537
Original languageEnglish

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.

Bibliographic note

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.