One-sided invertibility of binomial functional operators with a shift on rearrangement-invariant spaces.

DOI10.1007/BF01275516zbMath1071.39027arXivmath/0010171MaRDI QIDQ5957560

Yuri I. Karlovich, Alexei Yu. Karlovich

Publication date: 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010171

zbMATH Keywords

binomial functional operatorone-sided invertiblityreflexive rearrangement-invariant space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Functional equations for complex functions (39B32)

Related Items (5)

One-sided invertibility criteria for binomial functional operators with shift and slowly oscillating data ⋮ Right-sided invertibility of binomial functional operators and graded dichotomy ⋮ Semi-Fredholm problems on periodic solutions of functional-differential equations of neutral type ⋮ Отображения с разделимой динамикой и спектральные свойства порожденных ими операторов ⋮ Coherent local hyperbolicity of a linear extension and the essential spectra of a weighted shift operator on a closed interval

Cites Work

• Indices of Banach function spaces and spaces of fundamental type
• Interpolation of operators of weak type between rearrangement invariant function spaces
• Indices of Function Spaces and their Relationship to Interpolation
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