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Interpolation and complex symmetry. (English) Zbl 1171.30011
Summary: In a separable complex Hilbert space endowed with an isometric conjugate-linear involution, we study sequences orthonormal with respect to an associated bilinear form. Properties of such sequences are measured by a positive, possibly unbounded angle operator which is formally orthogonal as a matrix. Although developed in an abstract setting, this framework is relevant to a variety of eigenvector interpolation problems arising in function theory and in the study of differential operators.

30D55 \(H^p\)-classes (MSC2000)
47A15 Invariant subspaces of linear operators
Full Text: DOI
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