On some norm equalities in pre-Hilbert C
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Ljiljana ArambaΕ‘iΔ; Rajna RajiΔ
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Article
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2006
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Elsevier Science
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English
β 127 KB
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.