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

Bhattacharyya, Tirthankar ; Rastogi, Shubham ; Kumar, U. Vijaya (2022) The Joint Spectrum for a Commuting Pair of Isometries in Certain Cases Complex Analysis and Operator Theory, 16 (6). ISSN 1661-8254

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Official URL: http://doi.org/10.1007/s11785-022-01257-0

Related URL: http://dx.doi.org/10.1007/s11785-022-01257-0

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.

Item Type:Article
Source:Copyright of this article belongs to Springer Verlag.
ID Code:134411
Deposited On:06 Jan 2023 07:55
Last Modified:09 Jan 2023 10:15

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