Document Type

Article - postprint

Department

Mathematics (Pomona)

Publication Date

2008

Keywords

Complex symmetric operator, interpolation, eigensystem, eigenfunction, contraction, conjugation, dissipative operator, bilinear form, inner function, compressed Toeplitz operator

Abstract

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.

Comments

Final publication can be found at:

Garcia, S.R., Putinar, M., Interpolation and complex symmetry, Tohoku Math. J. (2) 60 (2008), no. 3, 423–440. MR2453732 (2009k:47048). doi: 10.2748/tmj/1223057737

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© 2008 Tohoku University

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