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arxiv: 0906.0822 · v1 · submitted 2009-06-04 · 🧮 math.OA

On orthogonal systems in Hilbert C*-modules

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keywords hilbertmodulesorthogonalsystemsanaloguesattentionclassicalconsidered
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Analogues for Hilbert C*-modules of classical results of Fourier series theory in Hilbert spaces are considered. Relations between different properties of orthogonal and orthonormal systems for Hilbert C*-modules are studied with special attention paid on the differences with the well-known Hilbert space situation.

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