English

Spectrum of a family of operators

Functional Analysis 2012-07-11 v1

Abstract

Having as start point the classic definitions of resolvent set and spectrum of a linear bounded operator on a Banach space, we introduce the resolvent set and spectrum of a family of linear bounded operators on a Banach space. In addition, we present some results which adapt to asymptotic case the classic results.

Keywords

Cite

@article{arxiv.1207.2327,
  title  = {Spectrum of a family of operators},
  author = {Simona Macovei},
  journal= {arXiv preprint arXiv:1207.2327},
  year   = {2012}
}

Comments

23 pages