paper

On orthogonal systems in Hilbert C*-modules

arXiv:0906.0822

Abstract

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.

12 pages, 1 figure

On orthogonal systems in Hilbert C*-modules · wovepaper