数学
正交基
希尔伯特空间
有界函数
纯数学
秩(图论)
算符理论
对称(几何)
单一制国家
基质(化学分析)
操作员(生物学)
域代数上的
数学分析
组合数学
几何学
物理
材料科学
量子力学
政治学
法学
复合材料
生物化学
化学
抑制因子
转录因子
基因
作者
Stephan Ramon Garcia,Mihai Putinar
标识
DOI:10.1090/s0002-9947-05-03742-6
摘要
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.
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