Triangular models of commutative systems of linear operators close to unitary operators. (English) Zbl 1498.47029
Ukr. Math. J. 68, No. 5, 791-811 (2016) and Ukr. Mat. Zh. 68, No. 5, 694-711 (2016).
Summary: Triangular models are constructed for commutative systems of linear bounded operators close to unitary operators. The construction of these models is based on the continuation of basic relations for the characteristic function along the general chain of invariant subspaces.
MSC:
| 47A46 | Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
References:
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