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Hermitian Operators on Banach Jordan Algebras

Published online by Cambridge University Press:  20 January 2009

M. A. Youngson
M. A. Youngson
Affiliation:
Mathematics Department, University of Edinburgh.
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In this note, we examine some of the properties of Hermitian operators on complex unital Banach Jordan algebras, that is, those operators with real numerical range. Recall that a unital Banach Jordan algebra J, is a (real or complex) Jordan algebra with product a ˚ b, having a unit 1, and a norm ∥·∥, such that J, with norm ∥·∥, is a Banach space, ∥1∥ = 1, and, for all a and b in j,

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 22 , Issue 2 , June 1979 , pp. 169 - 180
Copyright
Copyright © Edinburgh Mathematical Society 1979

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