English

Weyl and Browder S-spectrums in a right quaternionic Hilbert space

Mathematical Physics 2018-10-12 v2 math.MP

Abstract

In this note first we study the Weyl operators and Weyl S-spectrum of a bounded right quaternionic linear operator, in the setting of the so-called S-spectrum, in a right quaternionic Hilbert space. In particular, we give a characterization for the S-spectrum in terms of the Weyl operators. In the same space we also study the Browder operators and introduce the Browder S-spectrum.

Keywords

Cite

@article{arxiv.1805.10131,
  title  = {Weyl and Browder S-spectrums in a right quaternionic Hilbert space},
  author = {B. Muraleetharan and K. Thirulogasanthar},
  journal= {arXiv preprint arXiv:1805.10131},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1805.01461