Abstract
Let [Formula: see text] and [Formula: see text] be Banach spaces. When [Formula: see text] and [Formula: see text] are linear relations in [Formula: see text] and [Formula: see text], respectively, we denote by [Formula: see text] the linear relation matrix acting on [Formula: see text] of the form [Formula: see text], where [Formula: see text] is the zero operator and [Formula: see text] is a bounded operator from [Formula: see text] to [Formula: see text]. In this paper, we prove that if [Formula: see text] denotes the Weyl spectrum, the Browder spectrum or the Drazin spectrum of a linear relation, then for every [Formula: see text] we have the equality [Formula: see text] where [Formula: see text] a subset of [Formula: see text]. Moreover, we explore how Weyl’s theorem and Browder’s theorem hold for linear relation matrices.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
