On the Characteristic Operator of an Integral Equation with a Nevanlinna Measure in the InЇnite-Dimensional Case

• Veröffentlicht in: Журнал математической физики, анализа, геометрии
• Datum: 2014
• 1. Verfasser: Bruk, V.M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/106790
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On the Characteristic Operator of an Integral Equation with a Nevanlinna Measure in the InЇnite-Dimensional Case / V.M. Bruk // Журнал математической физики, анализа, геометрии. — 2014. — Т. 10, № 2. — С. 163-188. — Бібліогр.: 24 назв. — англ.

We define the families of maximal and minimal relations generated by an integral equation with a Nevanlinna operator measure in the infinite-dimensional case and prove their holomorphic property. We show that if the restrictions of maximal relations are continuously invertible, then the operators in...