Work

A geometric characterization of range-kernel complementarity

Year: 2023

Type: preprint

Abstract: We show that a bounded linear operator on a Banach space with closed range has range-kernel complementarity if and only if its generalized amplitude is less than $π$. An application to the strong convergence of the iterations of a bounded linear operator is also given.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2301.08471

Authors: Drivaliaris, Dimosthenis, Yannakakis, Nikos

Institutions: University of the Aegean, National Technical University of Athens

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4317837847

Cites:

Cited by:

Related to: 10