scientific article

zbMath0641.47030MaRDI QIDQ3782277

N. Ya. Krupnik

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

determinantmatrix operatormultiplicative functionalsexact boundsalgebra 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 shiftLypunov contour

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)

Related Items (12)

Local objects in the theory of Toeplitz operators ⋮ Singular integral operators with the complex conjugation on curves with cusps ⋮ On a biquaternionic bag model ⋮ A general look at local principles with special emphasis on the norm computation aspect ⋮ A Duduchava--Saginashvili's type theory for Wiener--Hopf plus Hankel operators ⋮ Smooth transition type integral operators ⋮ Quasiwidths and optimization of methods of mixed approximation of multidimensional singular integrals with kernels of Hilbert type ⋮ Trace conditions for regular spectral behavior of vector-valued analytic functions ⋮ On the Fredholm theory of a planar problem with shift for a pair of functions ⋮ On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces ⋮ On the continuity of the spectrum in certain Banach algebras ⋮ On polynomial collocation for Cauchy singular integral equations with fixed singularities

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