A criterion for compactness in L_p(R) of the resolvent of the maximal Sturm-Leovuile operator of general form

TL;DR

This paper establishes a new criterion to determine when the resolvent of the maximal Sturm-Liouville operator of general form is compact in Lp(R), advancing understanding of spectral properties in functional analysis.

Contribution

It introduces a novel criterion for compactness of the resolvent of the maximal Sturm-Liouville operator in Lp(R), applicable to operators of general form.

Findings

Criterion for compactness in Lp(R) established

Applicable to Sturm-Liouville operators of general form

Enhances spectral analysis of differential operators

Abstract

We obtain a criterion for compactness in Lp (R) of the resolvent of the maximal Sturm-Liouville operator of general form.