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The Quarterly Journal of Mathematics 2005 56(1):43-52; doi:10.1093/qmath/hah021
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© The Author (2005). Published by Oxford University Press. All rights reserved. For Permissions please email: journals.permissions@oupjournals.org

Spin spaces and positive decomposition of linear maps on ordered Banach spaces

Leslie J. Bunce1 * and Antonio M. Peralta2 §

1 Department of Mathematics, University of Reading, Reading RG6 2AX, 2 Departamento de Análisis Matemático, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain

Spin factors and generalizations are used to revisit positive generation of B(E, F), where E and F are ordered Banach spaces. Interior points of B(E, F)+ are discussed and in many cases it is seen that positive generation of B(E, F) is controlled by spin structure in F when F is a JBW-algebra.

Received 16 December 2002.

* E-mail: L.J.Bunce{at}reading.ac.uk

§ E-mail: aperalta{at}goliat.ugr.es


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