Co-EP Banach Algebra Elements

Julio Benitez; Enrico Boasso; Vladimir Rakocevic

Co-EP Banach Algebra Elements

Functional Analysis 2015-05-07 v1

Authors: Julio Benitez , Enrico Boasso , Vladimir Rakocevic

Abstract

In this work, given a unital Banach algebra $\A$ and $a\in \A$ such that $a$ has a Moore-Penrose inverse $a^\dagger$ , it will be characterized when $aa^\dagger-a^\dagger a$ is invertible. A particular subset of this class of objects will also be studied. In addition, perturbations of this class of elements will be studied. Finally, the Banach space operator case will be also considered.

Keywords

banach algebras generalized inverses banach spaces

Cite

@article{arxiv.1505.01308,
  title  = {Co-EP Banach Algebra Elements},
  author = {Julio Benitez and Enrico Boasso and Vladimir Rakocevic},
  journal= {arXiv preprint arXiv:1505.01308},
  year   = {2015}
}

Comments

14 pages, original research article

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