Nilpotency of Elementary Operators on B(E)
Gyan Prakash Tripathi, Nand Lal
TL;DR
This paper establishes necessary and sufficient conditions for the nilpotency of elementary multiplication operators on B(E), providing insights into their behavior on Banach spaces.
Contribution
It offers a complete characterization of nilpotent elementary multiplication operators on B(E), advancing understanding of operator nilpotency in Banach space contexts.
Findings
Derived necessary and sufficient conditions for nilpotency.
Identified sufficient conditions for elementary operators to be nilpotent.
Enhanced theoretical understanding of operator behavior on Banach spaces.
Abstract
In this paper, we shall give a necessary and sufficient condition for nilpotency of elementary multiplication operators and some sufficient conditions for elementary operators to be nilpotent on B(E), where E is Banach space.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Holomorphic and Operator Theory