Positivity (2012) 16:393 DOI 10.1007/s11117-011-0132-x Positivity ERRATUM Jessica J. Vardy · Bruce A. Watson Published online: 13 July 2011 © Springer Basel AG 2011 Erratum to: Positivity DOI 10.1007/s11117-011-0121-0 In Definition 3 of this article, a condition has been omitted. Definition 3 should read (i.e. the italicized words below were omitted): Deﬁnition 3 Let E be a Dedekind complete Riesz space with conditional expectation T and weak order unit e = Te.Let P and Q be band projections on E , we say that P and Q are T -conditionally independent with respect to T if TP TQe = TPQe = TQ TP e. (1) We say that two Riesz subspaces E and E of E , containing R(T ),are T -conditionally 1 2 independent with respect to T if all band projections P , i = 1, 2, in E with P e ∈ E , i = 1, 2, are T -conditionally independent with respect to T . i i Acknowledgments We thank Prof. J.J. Grobler for alerting us to the omission corrected herein. The online version of the original article can be found under doi:10.1007/s11117-011-0121-0. J. J. Vardy · B. A. Watson (B) Centre for Applicable Analysis and Number Theory, School of Mathematics, University of the Witwatersrand, Private Bag 3, P.O.WITS, Johannesburg 2050, South Africa e-mail: Bruce.Watson@wits.ac.za
Positivity – Springer Journals
Published: Jul 13, 2011
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