Definition and Existence of the Eigenderivative
Kerry M. Soileau
TL;DR
This paper introduces the concept of eigenderivatives for linear operators on Banach spaces, providing a sufficient condition for their existence, thereby extending spectral theory in functional analysis.
Contribution
It defines eigenderivatives for linear operators on Banach spaces and establishes a sufficient condition for their existence, advancing the theoretical framework.
Findings
Defined eigenderivatives for linear operators on Banach spaces
Provided a sufficient condition for eigenderivative existence
Extended spectral theory in functional analysis
Abstract
We define the eigenderivatives of a linear operator on any real or complex Banach space, and give a sufficient condition for their existence.
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Taxonomy
TopicsGender Studies in Language · Sexuality, Behavior, and Technology · LGBTQ Health, Identity, and Policy