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A canonical decomposition for linear operators and linear relations

✍ Scribed by S. Hassi; Z. Sebestyén; H. S. V. De Snoo; F. H. Szafraniec


Publisher
Akadmiai Kiad
Year
2007
Tongue
English
Weight
411 KB
Volume
115
Category
Article
ISSN
1588-2632

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Linear fractional relations for Hilbert
✍ V. A. Khatskevich; M. I. Ostrovskii; V. S. Shulman 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 1 views

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