English

Characterizations of Fredholm pairs and chains in Hilbert spaces

Functional Analysis 2014-04-04 v1

Abstract

In this work characterizations of Fredholm pairs and chains of Hilbert space operators are given. Following a well-known idea of several variable operator theory in Hilbert spaces, the aforementioned objects are characterized in terms of Fredholm linear and bounded maps. Furthermore, as an application of the main results of this work, direct proofs of the stability properties of Fredholm pairs and chains in Hilbert spaces are obtained.

Keywords

Cite

@article{arxiv.1404.0907,
  title  = {Characterizations of Fredholm pairs and chains in Hilbert spaces},
  author = {Enrico Boasso},
  journal= {arXiv preprint arXiv:1404.0907},
  year   = {2014}
}

Comments

15 pages, original research article