English

B*-algebras over ultranormed fields

Functional Analysis 2018-09-11 v1 Rings and Algebras

Abstract

This article is devoted to the investigation of BB^*-algebras, dual and annihilator ultranormed algebras. Their structure is studied in the paper. Extensions of algebras and fields are considered and using them core radicals and radicals are investigated. Moreover, for this purpose also *-algebras and finely regular algebras are studied. Relations with operator theory and realizations of these algebras by operator algebras are outlined.

Keywords

Cite

@article{arxiv.1809.02696,
  title  = {B*-algebras over ultranormed fields},
  author = {S. V. Ludkowski},
  journal= {arXiv preprint arXiv:1809.02696},
  year   = {2018}
}

Comments

34 pages

R2 v1 2026-06-23T03:58:35.635Z