Journal of Mathematical Physics, Analysis, Geometry
2021, vol. 17, No 2, pp. 146-162     ( to contents , go back )

On a Certain Class of Г-Contractions

Berrabah Bendoukha

University of Mostaganem, Route Nationale 11, Mostaganem, 27000, Algeria

Received March 27, 2020, revised July 16, 2020.


The present paper is aimed to study a certain class of pairs of operators having the symmetrized bidisk as a spectral set. For such pairs, the conditions of Г-contractivity are given and the functional model is constructed. Some criteria of unitary equivalence are also established.

Mathematics Subject Classification 2010: 47A20, 47A25
Key words: functional model, fundamental operator, pure contraction, spectral set, symmetrized bidisc

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