Properties $(BR)$ and $(BgR)$ for Bounded Linear Operators

Anuradha Gupta; Ankit Kumar

Properties $(BR)$ and $(BgR)$ for Bounded Linear Operators

Spectral Theory 2018-11-26 v1 Functional Analysis

Authors: Anuradha Gupta , Ankit Kumar

Abstract

In this paper we introduce the notion of property $(BR)$ and property $(BgR)$ for bounded linear operators defined on an infinite-dimensional Banach space. These properties in connection with Weyl type theorems and in the frame of polaroid operators are investigated. Moreover, we study the stability of these properties under perturbations by commuting finite-dimensional, quasi-nilpotent, Riesz and algebraic operators.

Keywords

operator theory on banach spaces banach space operator theory

Cite

@article{arxiv.1811.09184,
  title  = {Properties $(BR)$ and $(BgR)$ for Bounded Linear Operators},
  author = {Anuradha Gupta and Ankit Kumar},
  journal= {arXiv preprint arXiv:1811.09184},
  year   = {2018}
}

Comments

10 pages

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