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Proceedings of the American Mathematical Society

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Extensions of pure positive functionals on Banach $ \sp{\ast} $-algebras


Authors: R. S. Doran and Wayne Tiller
Journal: Proc. Amer. Math. Soc. 82 (1981), 583-586
MSC: Primary 46K05
DOI: https://doi.org/10.1090/S0002-9939-1981-0614882-X
MathSciNet review: 614882
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Abstract: A known extension theorem for pure states on a Banach *-algebra with isometric involution is shown to hold for the wider class of Banach *-algebras with arbitrary, possibly discontinuous, involutions.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0614882-X
Keywords: Pure states, extensions, Banach *-algebra
Article copyright: © Copyright 1981 American Mathematical Society

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