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Some results on essential spectra of differential operators in Banach spaces

    V. A. Erovenko Affiliation

Abstract

In this paper we investigate spectral and semi‐Predholm properties of maximum and minimum Puchsian differential operators on Lebesgue spaces on a semi‐axis. These results are applied for determination of various essential spectra and spectrum of ordinary differential operators with polynomial coefficients, which order does not exceed the order of the corresponding derivative.


Keletas rezultatų apie esminį spektrą Banacho erdvėse


Santrauka


Šiame straipsnyje tiriamos spektrines ir pusiau Fredholmines maksimaliu ir minimaliu Fuchsiano diferencialiniu operatoriu savybes Lebego erdviu pusiau ašyse. Šios savybes gali būti taikomos ivairiems paprastuju diferencialiniu operatoriu su polinominiais koeficientais, kuriu eile neviršija atitinkamos išvestines eiles, esminio spektro ir spektro tyrime.


First Published Online: 14 Oct 2010

Keyword : spectral properties, Puchsian differential operators, Fredholm and semi‐Predholm operators, Lebesgue spaces

How to Cite
Erovenko, V. A. (2003). Some results on essential spectra of differential operators in Banach spaces. Mathematical Modelling and Analysis, 8(3), 203-216. https://doi.org/10.3846/13926292.2003.9637224
Published in Issue
Sep 30, 2003
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