English

On the generalized resolvents of isometric operators with gaps

Functional Analysis 2012-05-01 v1

Abstract

In this paper we obtain some slight correction and generalization of the results of Ryabtseva on the generalized resolvents for isometric operators with a gap in their spectrum. Also, analogs of some McKelvey's results and a short proof of Inin's formula for the generalized resolvents of an isometric operator are obtained.

Keywords

Cite

@article{arxiv.1204.6399,
  title  = {On the generalized resolvents of isometric operators with gaps},
  author = {Sergey M. Zagorodnyuk},
  journal= {arXiv preprint arXiv:1204.6399},
  year   = {2012}
}

Comments

38 pages