A Question About Invariant Subspaces and Factorization

Hari Bercovici () and Wing Suet Li ()
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Hari Bercovici: Indiana University, Mathematics Department
Wing Suet Li: Georgia Institute of Technology, Mathematics Department

A chapter in Multivariable Operator Theory, 2023, pp 115-117 from Springer

Abstract: Abstract We ask whether a connection between isometric functional calculus and factorization of linear functionals, known to hold for the case of a single contraction operator, persists in the case of commuting pairs—or, more generally, n-tuples—of contractions. A positive answer has consequences concerning the jointly invariant subspaces of the commuting operators.

Date: 2023
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DOI: 10.1007/978-3-031-50535-5_5

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