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On some norm equalities in pre-Hilbert C*-modules

✍ Scribed by Ljiljana Arambašić; Rajna Rajić

Book ID
104036458
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
127 KB
Volume
414
Category
Article
ISSN
0024-3795

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✦ Synopsis

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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