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Membership in the class \(\mathbb{A}_{\aleph_ 0}^{(2)} ({\mathcal H})\). (English) Zbl 0832.47009
Curto, Raúl E. (ed.) et al., Multivariable operator theory. A joint summer research conference on multivariable operator theory, July 10-18, 1993, University of Washington, Seattle, WA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 185, 273-281 (1995).
Summary: We develop some of the theory of doubly-generated dual algebras. We study those pairs of contractions that belong to a special class, where certain systems of equations can be solved. We give some necessary and sufficient conditions for pairs to belong to this class. We use some recently developed techniques to study this problem.
For the entire collection see [Zbl 0819.00022].
47A45 Canonical models for contractions and nonselfadjoint linear operators
47A60 Functional calculus for linear operators
47A15 Invariant subspaces of linear operators