Minimality of root vectors of operator functions analytic in an angle

• Datum: 1994
• Hauptverfasser: Radzievskii, G. V., Радзиевский, Г. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5718
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the minimality of elements $x_{h, j, k}$ of canonical systems of root vectors. These systems correspond to the characteristic numbers $μ_k$ of operator functions $L(λ)$ analytic in an angle; we assume that operators act in a Hilbert space $H$. In particular, we consider the case where $L(λ...