Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob

zbMath0641.47031MaRDI QIDQ1100710

N. Ya. Krupnik

Publication date: 1987

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

zbMATH Keywords

determinantmatrix operatormultiplicative functionalsexact boundsLyapunov contouralgebra generated by the Toeplitz operators with piecewise continuous coefficientsalgebras with symbolsBanach algebras containing singular integral operators on a curveGelfand's representation theoremmatrix Fredholm operatormatrix symbolsnon commutative algebrasoperators of local typesingular integral operators with Carleman shift

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) General theory of topological algebras (46H05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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