English

On certain spectral features inherent to scalar type spectral operators

Spectral Theory 2017-06-30 v4

Abstract

Important spectral features, such as the emptiness of the residual spectrum, countability of the point spectrum, provided the space is separable, and a characterization of spectral gap at 00, known to hold for bounded scalar type spectral operators, are shown to naturally transfer to the unbounded case.

Keywords

Cite

@article{arxiv.1611.00444,
  title  = {On certain spectral features inherent to scalar type spectral operators},
  author = {Marat V. Markin},
  journal= {arXiv preprint arXiv:1611.00444},
  year   = {2017}
}