Geodesic
Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients
Matematičeskie zametki, Tome 62 (1997) no. 3, pp. 430-439

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A criterion is obtained for the applicability of the approximation method based on strongly approximating operator families converging to a one-dimensional singular integral operator with coefficients continuous in the circle. Some special cases are considered. 
@article{MZM_1997_62_3_a11,
     author = {V. S. Pilidi},
     title = {Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients},
     journal = {Matemati\v{c}eskie zametki},
     pages = {430--439},
     publisher = {mathdoc},
     volume = {62},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_3_a11/}
}
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V. S. Pilidi. Criterion for uniform invertibility of families of strong approximations to one-dimensional singular integral operators with continuous coefficients. Matematičeskie zametki, Tome 62 (1997) no. 3, pp. 430-439. http://geodesic.mathdoc.fr/item/MZM_1997_62_3_a11/