English

Functional continuity of unital $B_{0}$-algebras with orthogonal bases

Functional Analysis 2019-11-19 v4

Abstract

Let AA be a unital B0B_{0}-algebra with an orthogonal basis, then every multiplicative linear functional on AA is continuous. This gives an answer to a problem posed by Z. Sawon and Z. Wronski.

Keywords

Cite

@article{arxiv.1507.02337,
  title  = {Functional continuity of unital $B_{0}$-algebras with orthogonal bases},
  author = {M. El Azhari},
  journal= {arXiv preprint arXiv:1507.02337},
  year   = {2019}
}

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5 pages