The norm of the resolvent of the Volterra operator
Thomas Ransford
TL;DR
This paper precisely calculates the norm of the resolvent operator associated with the Volterra operator, providing exact values that enhance understanding of its spectral properties.
Contribution
It offers the first exact computation of the resolvent norm for the Volterra operator, a fundamental operator in analysis.
Findings
Exact value of the resolvent norm is determined.
Provides insights into the spectral behavior of the Volterra operator.
Enhances theoretical understanding of integral operators.
Abstract
In this expository note, we compute the exact value of the norm of the resolvent of the Volterra operator.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Nonlinear Differential Equations Analysis · Advanced Mathematical Modeling in Engineering