Operator pencils of the second order and linear fractional relations

• Published in: Український математичний вісник
• Date: 2006
• Main Authors: Khatskevich, V., Karelin, I., Zelenko, L.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2006
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124564
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Operator pencils of the second order and linear fractional relations / V. Khatskevich, I. Karelin, L. Zelenko // Український математичний вісник. — 2006. — Т. 3, № 4. — С. 467-503. — Бібліогр.: 87 назв. — англ.

The notions of a pencil of the second order and a linear fractional relation (LFR) are defined in spaces of linear bounded operators acting between Banach spaces. It is shown that these notions are closely connected with various theoretical and applied problems and have diverse applications. A numbe...