On the algebra of pair integral operators with homogeneous kernels

DOI10.1023/A:1023294818152zbMath1075.47036OpenAlexW136876453MaRDI QIDQ1886122

O. G. Avsyankin

Publication date: 15 November 2004

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

Full work available at URL: https://doi.org/10.1023/a:1023294818152

zbMATH Keywords

Banach algebracompact operatorquotient algebraalgebra of pair integral operatorsFredholm property of integral operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (9)

Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients ⋮ On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients ⋮ Boundedness and compactness of multidimensional integral operators with homogeneous kernels ⋮ An algebra generated by multiplicative discrete convolution operators ⋮ Multidimensional integral operators with kernels of mixed homogeneity ⋮ On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations ⋮ The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients ⋮ Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type ⋮ On multidimensional integral operators with homogeneous kernels and oscillatory radial coefficients

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