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

Tirthankar Bhattacharyya (), Shubham Rastogi () and U. Vijaya Kumar ()
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Tirthankar Bhattacharyya: Indian Institute of Science, Department of Mathematics
Shubham Rastogi: Indian Institute of Science, Department of Mathematics
U. Vijaya Kumar: Indian Institute of Science, Department of Mathematics

A chapter in Multivariable Operator Theory, 2023, pp 155-193 from Springer

Abstract: 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.

Keywords: Primary 47A13; 47A45; 47A65 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-50535-5_7

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DOI: 10.1007/978-3-031-50535-5_7

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