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Norm equalities in pre-Hilbert -modules

✍ Scribed by Dan Popovici


Book ID
113771996
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
234 KB
Volume
436
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


On some norm equalities in pre-Hilbert C
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We characterize when the norm of the sum of two elements in a pre-Hilbert C \* -module equals the sum of their norms. We also give the necessary and sufficient conditions for two orthogonal elements of a pre-Hilbert C \* -module to satisfy Pythagoras' equality.

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In this paper we consider the case of equality in some generalizations of the Dunkl-Williams inequality for elements of a pre-Hilbert C \* -module.