On general construct of chaotic unbounded linear operators in Banach Spaces with Schauder Bases

Abstract

We utilize the idea underlying the construct of the classical weighted backward shift Rolewicz's operators to furnish a straightforward approach to a general construct of chaotic unbounded linear operators in a (real or complex) Banach space with a Schauder basis.

Corrected typo in Key words and phrases. There is a natural text overlap with arXiv:1811.06640 and arXiv:1807.07423 in the Introduction section containing introductory information, definitions, and general remarks