A perturbation result of m-accretive linear operators in Hilbert spaces
Mohammed Benharrat
TL;DR
This paper establishes a new sufficient condition for the sum of two m-accretive operators in a Hilbert space to be m-accretive and applies it to improve error bounds in the exponential Trotter-Kato product formula.
Contribution
It introduces a novel sufficient condition for the sum of m-accretive operators to be m-accretive and extends error bound estimates for the exponential Trotter-Kato formula.
Findings
New sufficient condition for sum of m-accretive operators
Extended error bound estimates for exponential Trotter-Kato formula
Improved understanding of operator sum properties in Hilbert spaces
Abstract
A new sufficient condition is given for the sum of linear m-accretive operator and accretive operator one in a Hilbert space to be m-accretive. As an application, an extended result to the operator-norm error bound estimate for the exponential Trotter-Kato product formula is given.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Holomorphic and Operator Theory