Matches in SemOpenAlex for { <https://semopenalex.org/work/W2048047893> ?p ?o ?g. }
Showing items 1 to 90 of
90
with 100 items per page.
- W2048047893 endingPage "890" @default.
- W2048047893 startingPage "875" @default.
- W2048047893 abstract "In this paper we study linear fractional relations defined in the following way. Let ℋ︁i and ℋ︁i ′, i = 1, 2, be Hilbert spaces. We denote the space of bounded linear operators acting from ℋ︁j to ℋ︁i ′ by L (ℋ︁j , ℋ︁i ′). Let T ∈ ℒ︁(ℋ︁1 ⊕ ℋ︁2, ℋ︁1′ ⊕ ℋ︁2′). To each such operator there corresponds a 2 × 2 operator matrix of the form where Tij ∈ ℒ︁ (ℋ︁j , ℋ︁i ′), i, j = 1, 2. For each such T we define a set-valued map GT from ℒ︁(ℋ︁1, ℋ︁2) into the set of closed affine subspaces of ℒ︁(ℋ︁1′, ℋ︁2′) by G T (K ) = {K ′ ∈ ℒ︁(ℋ︁1′, ℋ︁2′) : T 21 + T 22K = K ′(T 11 + T 12K )} . The map GT is called a linear fractional relation . The main result of the paper is the description of operator matrices of the form (.) for which the relation GT is defined on some open ball of the space ℒ︁(ℋ︁1, ℋ︁2). Linear fractional relations are natural generalizations of linear fractional transformations studied by M. G. Krein and Yu. L. Šmuljan (1967). The study of both linear fractional transformations and linear fractional relations is motivated by the theory of spaces with an indefinite metric and its applications. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W2048047893 created "2016-06-24" @default.
- W2048047893 creator A5024496853 @default.
- W2048047893 creator A5061404777 @default.
- W2048047893 creator A5068161021 @default.
- W2048047893 date "2006-06-01" @default.
- W2048047893 modified "2023-10-02" @default.
- W2048047893 title "Linear fractional relations for Hilbert space operators" @default.
- W2048047893 cites W1548142582 @default.
- W2048047893 cites W1972331185 @default.
- W2048047893 cites W2005773176 @default.
- W2048047893 cites W2007074148 @default.
- W2048047893 cites W2010502621 @default.
- W2048047893 cites W2027536842 @default.
- W2048047893 cites W2043323748 @default.
- W2048047893 cites W341055481 @default.
- W2048047893 cites W4210748035 @default.
- W2048047893 cites W834985691 @default.
- W2048047893 doi "https://doi.org/10.1002/mana.200310400" @default.
- W2048047893 hasPublicationYear "2006" @default.
- W2048047893 type Work @default.
- W2048047893 sameAs 2048047893 @default.
- W2048047893 citedByCount "9" @default.
- W2048047893 countsByYear W20480478932013 @default.
- W2048047893 countsByYear W20480478932014 @default.
- W2048047893 crossrefType "journal-article" @default.
- W2048047893 hasAuthorship W2048047893A5024496853 @default.
- W2048047893 hasAuthorship W2048047893A5061404777 @default.
- W2048047893 hasAuthorship W2048047893A5068161021 @default.
- W2048047893 hasConcept C104317684 @default.
- W2048047893 hasConcept C114614502 @default.
- W2048047893 hasConcept C118615104 @default.
- W2048047893 hasConcept C122041747 @default.
- W2048047893 hasConcept C12362212 @default.
- W2048047893 hasConcept C134306372 @default.
- W2048047893 hasConcept C158448853 @default.
- W2048047893 hasConcept C17020691 @default.
- W2048047893 hasConcept C175454919 @default.
- W2048047893 hasConcept C176370821 @default.
- W2048047893 hasConcept C185592680 @default.
- W2048047893 hasConcept C202444582 @default.
- W2048047893 hasConcept C3019018024 @default.
- W2048047893 hasConcept C33923547 @default.
- W2048047893 hasConcept C34388435 @default.
- W2048047893 hasConcept C49766605 @default.
- W2048047893 hasConcept C55493867 @default.
- W2048047893 hasConcept C62799726 @default.
- W2048047893 hasConcept C68386474 @default.
- W2048047893 hasConcept C86339819 @default.
- W2048047893 hasConceptScore W2048047893C104317684 @default.
- W2048047893 hasConceptScore W2048047893C114614502 @default.
- W2048047893 hasConceptScore W2048047893C118615104 @default.
- W2048047893 hasConceptScore W2048047893C122041747 @default.
- W2048047893 hasConceptScore W2048047893C12362212 @default.
- W2048047893 hasConceptScore W2048047893C134306372 @default.
- W2048047893 hasConceptScore W2048047893C158448853 @default.
- W2048047893 hasConceptScore W2048047893C17020691 @default.
- W2048047893 hasConceptScore W2048047893C175454919 @default.
- W2048047893 hasConceptScore W2048047893C176370821 @default.
- W2048047893 hasConceptScore W2048047893C185592680 @default.
- W2048047893 hasConceptScore W2048047893C202444582 @default.
- W2048047893 hasConceptScore W2048047893C3019018024 @default.
- W2048047893 hasConceptScore W2048047893C33923547 @default.
- W2048047893 hasConceptScore W2048047893C34388435 @default.
- W2048047893 hasConceptScore W2048047893C49766605 @default.
- W2048047893 hasConceptScore W2048047893C55493867 @default.
- W2048047893 hasConceptScore W2048047893C62799726 @default.
- W2048047893 hasConceptScore W2048047893C68386474 @default.
- W2048047893 hasConceptScore W2048047893C86339819 @default.
- W2048047893 hasIssue "8" @default.
- W2048047893 hasLocation W20480478931 @default.
- W2048047893 hasOpenAccess W2048047893 @default.
- W2048047893 hasPrimaryLocation W20480478931 @default.
- W2048047893 hasRelatedWork W2028111557 @default.
- W2048047893 hasRelatedWork W2048047893 @default.
- W2048047893 hasRelatedWork W2053085573 @default.
- W2048047893 hasRelatedWork W2094761573 @default.
- W2048047893 hasRelatedWork W2168201864 @default.
- W2048047893 hasRelatedWork W2351968542 @default.
- W2048047893 hasRelatedWork W2366428850 @default.
- W2048047893 hasRelatedWork W2394462454 @default.
- W2048047893 hasRelatedWork W2511038791 @default.
- W2048047893 hasRelatedWork W2717213425 @default.
- W2048047893 hasVolume "279" @default.
- W2048047893 isParatext "false" @default.
- W2048047893 isRetracted "false" @default.
- W2048047893 magId "2048047893" @default.
- W2048047893 workType "article" @default.