On the algebra generated by Volterra integral operators with homogeneous kernels and continuous coefficients

DOI10.1134/S003744662304016XOpenAlexW4385191979MaRDI QIDQ6175232

Unnamed Author, O. G. Avsyankin

Publication date: 18 August 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744662304016x

zbMATH Keywords

Banach algebraintegral operatorindexsymbolhomogeneous kernelNoetherian property

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Ideals, maximal ideals, boundaries (46J20) Topological algebras of operators (46H35) Kernel operators (47B34) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

• Volterra type integral operators with homogeneous kernels in weighted \(L_p\)-spaces
• On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations
• On integral operators with homogeneous kernels and trigonometric coefficients
• Invertibility of multidimensional integral operators with bihomogeneous kernels
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