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Operator linear-fractional relations: main properties, some applications

✍ Scribed by Viktor A. Khatskevich, Valerii A. Senderov

Book ID
120739327
Publisher
Springer US
Year
2013
Tongue
English
Weight
214 KB
Volume
192
Category
Article
ISSN
1573-8795

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## Abstract In this paper we study linear fractional relations defined in the following way. Let ℋ︁~__i__~ and ℋ︁~__i__~ ^β€²^, __i__ = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from ℋ︁~__j__~ to ℋ︁~__i__~ ^β€²^ by __L__ (ℋ︁~__j__~ , ℋ︁~__i__~ ^β€²^). Let __T__ ∈