Connected Hamel bases in Hilbert spaces

Gerald Kuba

Connected Hamel bases in Hilbert spaces

Functional Analysis 2024-02-13 v1

Authors: Gerald Kuba

Abstract

Our main goal is to track down an algebraic basis of Hilbert space $\ell^2$ which is a connected and locally connected subset of the unit sphere.

Keywords

hilbert functions algebraic geometry

Cite

@article{arxiv.2402.07678,
  title  = {Connected Hamel bases in Hilbert spaces},
  author = {Gerald Kuba},
  journal= {arXiv preprint arXiv:2402.07678},
  year   = {2024}
}

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