Bi-isometries and commutant lifting
H. Bercovici, R. G. Douglas, and C. Foias
TL;DR
This paper introduces a new functional model for pairs of commuting isometries and investigates the intertwining operators to classify their invariant subspaces.
Contribution
It presents a novel functional model for commuting isometries and explores intertwining operators for classification purposes.
Findings
Developed a new functional model for pairs of commuting isometries
Analyzed intertwining operators to classify invariant subspaces
Provided insights into the structure of commuting isometries
Abstract
A new functional model for pairs of commuting isometries is described. Intertwining operators between such models are then studied in order to approach the classification of invariant subspaces of such pairs.
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Taxonomy
TopicsAdvanced Topics in Algebra · Holomorphic and Operator Theory · Advanced Algebra and Logic