TL;DR
This paper characterizes mixing unilateral backward shift operators on certain topological sequence spaces, extending known results and providing examples to demonstrate the validity of these characterizations.
Contribution
It extends the characterization of mixing unilateral backward shifts to barrelled and ultrabarrelled spaces, broadening the scope of previous results.
Findings
Characterization of mixing unilateral backward shifts on barrelled spaces
Extension of known results to ultrabarrelled spaces
Examples demonstrating the validity of the characterizations
Abstract
In this paper, we characterize mixing unilateral backward shifts on barrelled and ultrabarrelled topological sequence spaces respectively, which extend several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results.
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Taxonomy
TopicsApproximation Theory and Sequence Spaces · Cardiovascular Health and Disease Prevention · Fixed Point Theorems Analysis