The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases

Bhattacharyya, T and Rastogi, S and Kumar, UV (2023) The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases. [Book Chapter]

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Abstract

We show that the joint spectrum of two commuting isometries can vary widely depending on various factors. It can range from being small (of measure zero or an analytic disc for example) to the full bidisc. En route, we discover a new model pair in the negative defect case and relate it to the modified bi-shift. © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023.

Item Type:	Book Chapter
Publication:	Multivariable Operator Theory: the Jörg Eschmeier Memorial Volume
Publisher:	Springer Nature
Additional Information:	The copyright for this article belongs to publisher.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Sep 2024 10:57
Last Modified:	20 Sep 2024 10:57
URI:	http://eprints.iisc.ac.in/id/eprint/86312

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