On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients

DOI10.1007/s10958-005-0048-8zbMath1072.47044OpenAlexW1975313948MaRDI QIDQ2487450

V. M. Deundyak, Igor B. Simonenko

Publication date: 5 August 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0048-8

zbMATH Keywords

stable homotopy classificationfamilies of Fredholm operatorsindices of families

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 (1)

Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type

Cites Work

• Ideals of a Banach algebra of singular integral operators with piecewise continuous coefficients in the space \(L_ p\) on a composite contour
• The local method in pairs of \(L_p\)-spaces and the index
• Structure of algebras of singular integral operators in weighted \(L_ p\)-spaces on the circle
• On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane
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