Geodesic
The Fredholm criterion and index calculation of Teoplits operators in some Hilbert spaces of analytic functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2008), pp. 23-29.

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The paper studied the Fredholm criterion of Teoplits operators in some Hilbert spaces of analytic functions on the unit disk in the complex plane $C$. The index of those operators was calculated. 
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A. M. Zakaryan; A. V. Tzutzulyan. The Fredholm criterion and index calculation of Teoplits operators in some Hilbert spaces of analytic functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2008), pp. 23-29. http://geodesic.mathdoc.fr/item/UZERU_2008_2_a3/

[1] E. Albrecht, Banach Center Publications, 8, 1982,, 9–30 | Zbl

[2] E. Zeidler, Applied Mathematical Sciences 109, Springer, NY, 1995

[3] A. Boettcher, Silbermann Analysis of Teoplitz Operators, Springer, Berlin, 1990 | MR

[4] R.G Douglav, Banach Algebra Techniques in Operator Theory, Academic Press, NY, 1995 | MR

[5] F.F. Bonsall, J. Duncan, Numerical Ranges of Operators on Normed Spaces and of Elements of Normed Algebras, London Mathematical Society. Lecture Note, series 2, Cambridge University Press, London-NY, 1971 | MR | Zbl