1. B-Fredholm and Drazin invertible operators through localized SVEP
- Creator:
- Amouch, M. and Zguitti, H.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- B-Fredholm operator, Drazin invertible operator, and single-valued extension property
- Language:
- English
- Description:
- Let X be a Banach space and T be a bounded linear operator on X. We denote by S(T) the set of all complex λ ∈ C such that T does not have the single-valued extension property at λ. In this note we prove equality up to S(T) between the left Drazin spectrum, the upper semi-B-Fredholm spectrum and the semi-essential approximate point spectrum. As applications, we investigate generalized Weyl’s theorem for operator matrices and multiplier operators.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public