Homogeneous 2-Shifts

Hazra, Somnath (2019) Homogeneous 2-Shifts. In: COMPLEX ANALYSIS AND OPERATOR THEORY, 13 (4). pp. 1729-1763.

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Abstract

The classification of homogeneous scalar weighted shifts is known. Recently, Koranyi obtained a large class of inequivalent irreducible homogeneous bi-lateral 2-by-2 block shifts. In this paper, we construct two distinct classes of examples not in the list of Koranyi. It is then shown that these new examples of irreducible homogeneous bi-lateral 2-by-2 block shifts, together with the ones found earlier by Koranyi, account for every unitarily inequivalent irreducible homogeneous bi-lateral 2-by-2 block shift.

Item Type:	Journal Article
Publication:	COMPLEX ANALYSIS AND OPERATOR THEORY
Publisher:	SPRINGER BASEL AG
Additional Information:	Copyright for this article belongs to COMPLEX ANALYSIS AND OPERATOR THEORY
Keywords:	Homogeneous operators; Projective representations; Associated representation
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	27 Jun 2019 14:36
Last Modified:	27 Jun 2019 14:36
URI:	http://eprints.iisc.ac.in/id/eprint/63038

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