English

Remarks on Naimark's duality

Functional Analysis 2007-05-23 v1

Abstract

We present an extension of Naimark's duality principle which states that complete systems in a Hilbert space are projections of ω\omega-linearly independent systems of elements of an ambient Hilbert space. This result is presented in the context of other known extensions of Naimark's theorem.

Keywords

Cite

@article{arxiv.math/0410348,
  title  = {Remarks on Naimark's duality},
  author = {Wojciech Czaja},
  journal= {arXiv preprint arXiv:math/0410348},
  year   = {2007}
}