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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The use of extended valued normal forms in removing a boundedness condition on an operator inequality


Author: C. C. Brown
Journal: Proc. Amer. Math. Soc. 103 (1988), 669-678
MSC: Primary 47B25; Secondary 15A39, 82A15
MathSciNet review: 947638
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Abstract: The cone of nonnegative extended valued normal forms, defined on the nonnegative bounded symmetric operators in a Hilbert space, is discussed in connection with generalising a known inequality to the unbounded case.

The cone of normal forms seems to offer a possibility for seeing unbounded operators in a more general perspective.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0947638-5
PII: S 0002-9939(1988)0947638-5
Keywords: Normal forms, operators in Hilbert space
Article copyright: © Copyright 1988 American Mathematical Society