Details

Autor(en) / Beteiligte

• Garcia, Stephan Ramon
• Putinar, Mihai

Titel

Complex symmetric operators and applications

Ist Teil von

• Transactions of the American Mathematical Society, 2006-03, Vol.358 (3), p.1285-1315

Ort / Verlag

Providence, RI: American Mathematical Society

Erscheinungsjahr

2006

Link zum Volltext

Quelle

American Mathematical Society Publications

Beschreibungen/Notizen

• We study a few classes of Hilbert space operators whose matrix representations are complex symmetric with respect to a preferred orthonormal basis. The existence of this additional symmetry has notable implications and, in particular, it explains from a unifying point of view some classical results. We explore applications of this symmetry to Jordan canonical models, self-adjoint extensions of symmetric operators, rank-one unitary perturbations of the compressed shift, Darlington synthesis and matrix-valued inner functions, and free bounded analytic interpolation in the disk.