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

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...

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Bibliographic Details
Date:2014
Main Author: Bruk, V.M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2014
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106790
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine