On orthogonal systems in Hilbert C*-modules

Mathematics – Operator Algebras

Scientific paper

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12 pages, 1 figure

Scientific paper

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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