Interpolation and complex symmetry
Garcia, Stephan R. ; Putinar, Mihai
Tohoku Math. J. (2), Tome 60 (2008) no. 1, p. 423-440 / Harvested from Project Euclid
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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.
Publié le : 2008-05-15
Classification:  Complex symmetric operator,  interpolation,  eigensystem,  eigenfunction,  contraction,  conjugation,  dissipative operator,  bilinear form,  inner function,  compressed Toeplitz operator,  30D55,  47A15 
@article{1223057737,
     author = {Garcia, Stephan R. and Putinar, Mihai},
     title = {Interpolation and complex symmetry},
     journal = {Tohoku Math. J. (2)},
     volume = {60},
     number = {1},
     year = {2008},
     pages = { 423-440},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1223057737}
}

Garcia, Stephan R.; Putinar, Mihai. Interpolation and complex symmetry. Tohoku Math. J. (2), Tome 60 (2008) no. 1, pp.  423-440. http://gdmltest.u-ga.fr/item/1223057737/