On Weak Supercyclicity I
C.S. Kubrusly, B.P. Duggal
TL;DR
This paper establishes conditions to differentiate weak supercyclicity from supercyclicity and explores when weak supercyclicity leads to weak stability in operators on normed and Banach spaces.
Contribution
It introduces new criteria to distinguish weak supercyclicity from supercyclicity and links weak supercyclicity to weak stability in operator theory.
Findings
Provided conditions to distinguish weak supercyclicity from supercyclicity.
Identified when weak supercyclicity implies weak stability.
Enhanced understanding of operator behavior in normed and Banach spaces.
Abstract
This paper provides conditions (i) to distinguish weak supercyclicity form supercyclicity for operators acting on normed and Banach spaces, and also (ii) to ensure when weak supercyclicity implies weak stability.
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Taxonomy
TopicsAdvanced Topics in Algebra · Mathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems