Article - postprint
Complex symmetric operator, interpolation, eigensystem, eigenfunction, contraction, conjugation, dissipative operator, bilinear form, inner function, compressed Toeplitz operator
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.
© 2008 Tohoku University
Garcia, Stephan Ramon and Putinar, Mihai, "Interpolation and Complex Symmetry" (2008). Pomona Faculty Publications and Research. 310.