Commuting and Doubly Commuting Pairs of Isometries

Simple item page
dc.contributor.authorBall, Joseph A.en_US
dc.contributor.authorSAU, HARIPADAen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.contributor.editorBall, Joseph _Ed.
dc.contributor.editorTylli, Hans-Olav_Ed.
dc.contributor.editorVirtanen, Jani A._Ed.
dc.date.accessioned2026-04-09T11:23:38Z
dc.date.available2026-04-09T11:23:38Z
dc.date.issued2025en_US
dc.description.abstractWe review the model theory for pairs of commuting isometries developed by Berger, Coburn and Lebow in 1978. We exhibit three ways to arrive at the models. Using this model theory, we present a new proof of Słociński’s Wold-type decomposition for doubly commuting pairs of isometries. Characterizations of joint invariant subspaces of commuting pairs of isometries are also presented. We also show how the recent development on operators associated with the tetrablock can be used to derive the Berger-Coburn-Lebow model for commuting isometries. Several examples are considered to illustrate the model theory.en_US
dc.identifier.citationOperator Theory, Related Fields, and Applications IWOTA 2023, Helsinki, Finlanden_US
dc.identifier.sourcetitleOperator Theory, Related Fields, and Applications IWOTA 2023, Helsinki, Finlanden_US
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10807
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherSpringer Natureen_US
dc.subjectMathematicsen_US
dc.subject2025en_US
dc.titleCommuting and Doubly Commuting Pairs of Isometriesen_US
dc.title.bookOperator Theory, Related Fields, and Applications IWOTA 2023, Helsinki, Finlanden_US
dc.typeBook chapteren_US

Files

Collections

BOOK CHAPTERS