Lower order positivity and holomorphic operators
The author gives conditions for holomorphic extensions of operator-valued functions in domains D of \({\mathbb{C}}^ n\) in terms of te positive- definiteness of order 3 of certain Hermitian kernels on \(D\times D\). The results generalize previous results of Hindmarsh, FitzGerald and Horn, and of the author.
holomorphic extensions of operator-valued functions
scientific article; zbMATH DE number 3849608