English

On orthogonal systems in Hilbert C*-modules

Operator Algebras 2009-06-05 v1

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.

Keywords

Cite

@article{arxiv.0906.0822,
  title  = {On orthogonal systems in Hilbert C*-modules},
  author = {Giovanni Landi and Alexander Pavlov},
  journal= {arXiv preprint arXiv:0906.0822},
  year   = {2009}
}

Comments

12 pages, 1 figure

R2 v1 2026-06-21T13:09:28.581Z