THE FREDHOLM CRITERION AND INDEX CALCULATION OF TEOPLITS OPERATORS IN SOME HILBERT SPACES OF ANALYTIC FUNCTIONS

M. A. Zakaryan; A. V. Tzutzulyan

doi:10.46991/PYSU:A/2008.42.2.023

THE FREDHOLM CRITERION AND INDEX CALCULATION OF TEOPLITS OPERATORS IN SOME HILBERT SPACES OF ANALYTIC FUNCTIONS

Authors

M. A. Zakaryan Ijevan Branch of Yerevan State University, Armenia
A. V. Tzutzulyan Ijevan Branch of Yerevan State University, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2008.42.2.023

Keywords:

Teoplits operators, unit disk, index, complex plane

Abstract

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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Published

2023-09-19

How to Cite

Zakaryan, M. A., & Tzutzulyan, A. V. (2023). THE FREDHOLM CRITERION AND INDEX CALCULATION OF TEOPLITS OPERATORS IN SOME HILBERT SPACES OF ANALYTIC FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 42(2 (216), 23–29. https://doi.org/10.46991/PYSU:A/2008.42.2.023