FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1498291880> ?p ?o ?g. }

• W1498291880 abstract "Let T1,...,T, C B(H) be bounded operators on a Hilbert space NH such that TiT1 + . + TnTnT < I-H. Given a symmetry j on NH, i.e., j2 = j*j = I-, we define the j-symmetric commutant of {Ti,...,Tn to be the operator space {A C B(N): TiA = jATi, i = 1, ..., n}. In this paper we obtain lifting theorems for symmetric commutants. The result extends the Sz.-Nagy-Foias commutant lifting theorem (n = 1, j = I-H), the anticommutant lifting theorem of Sebestyen (n 1, j = -Ia), and the noncommutative commutant lifting theorem (j = Ia). Sarason's interpolation theorem for H' is extended to symmetric commutants on Fock spaces. 1. LIFTING THEOREM FOR SYMMETRIC COMMUTANTS Let F+ be the unital free semigroup on n generators s,... ., sr, and let e be its neutral element. For any o... sik E F+, we define its length 11 := k, and lel = 0. On the other hand, if Ti E B(H), i = 1,.. ., n, we denote T, :Til ... and Te := IH. Let us recall from [Pol], [Po2], and [Po4] a few results concerning the noncommutative dilation theory for n-tuples of operators. A sequence of operators T := [Ti,... , T], Ti E B(H), i = 1, ... , n, is called contractive (or row contraction) if TIT1* + *.. + TnTn < I-. We say that a sequence of isometries V := [VI, ... , 1V] on a Hilbert space IC D H is a minimal isometric dilation of T if the following properties are satisfied: (i VI VI* + + Vn Vn* < IK; (ii Vi* I = Ti* I i = 1, . . n; (iii) IC = VaEF+ VaH. Consider the full Fock space on n generators F2(Hn) := ClE Q Hm Secondary 30E05. The author was partially supported by NSF Grant DMS-9531954. ?2000 American Mathematical Society 1705 This content downloaded from 207.46.13.103 on Thu, 20 Oct 2016 04:32:19 UTC All use subject to http://about.jstor.org/terms" @default.
• W1498291880 created "2016-06-24" @default.
• W1498291880 creator A5007208241 @default.
• W1498291880 date "2000-10-31" @default.
• W1498291880 modified "2023-09-23" @default.
• W1498291880 title "A lifting theorem for symmetric commutants" @default.
• W1498291880 cites W1602120208 @default.
• W1498291880 cites W1822993497 @default.
• W1498291880 cites W1971496797 @default.
• W1498291880 cites W1971754347 @default.
• W1498291880 cites W1984065242 @default.
• W1498291880 cites W2010882186 @default.
• W1498291880 cites W2014882046 @default.
• W1498291880 cites W2021480805 @default.
• W1498291880 cites W2055795185 @default.
• W1498291880 cites W2058845686 @default.
• W1498291880 cites W2089521781 @default.
• W1498291880 cites W2300772284 @default.
• W1498291880 doi "https://doi.org/10.1090/s0002-9939-00-05750-6" @default.
• W1498291880 hasPublicationYear "2000" @default.
• W1498291880 type Work @default.
• W1498291880 sameAs 1498291880 @default.
• W1498291880 citedByCount "5" @default.
• W1498291880 countsByYear W14982918802012 @default.
• W1498291880 crossrefType "journal-article" @default.
• W1498291880 hasAuthorship W1498291880A5007208241 @default.
• W1498291880 hasBestOaLocation W14982918801 @default.
• W1498291880 hasConcept C114614502 @default.
• W1498291880 hasConcept C118615104 @default.
• W1498291880 hasConcept C199422724 @default.
• W1498291880 hasConcept C202444582 @default.
• W1498291880 hasConcept C2780757906 @default.
• W1498291880 hasConcept C33923547 @default.
• W1498291880 hasConcept C62799726 @default.
• W1498291880 hasConcept C68797384 @default.
• W1498291880 hasConcept C75174853 @default.
• W1498291880 hasConceptScore W1498291880C114614502 @default.
• W1498291880 hasConceptScore W1498291880C118615104 @default.
• W1498291880 hasConceptScore W1498291880C199422724 @default.
• W1498291880 hasConceptScore W1498291880C202444582 @default.
• W1498291880 hasConceptScore W1498291880C2780757906 @default.
• W1498291880 hasConceptScore W1498291880C33923547 @default.
• W1498291880 hasConceptScore W1498291880C62799726 @default.
• W1498291880 hasConceptScore W1498291880C68797384 @default.
• W1498291880 hasConceptScore W1498291880C75174853 @default.
• W1498291880 hasLocation W14982918801 @default.
• W1498291880 hasOpenAccess W1498291880 @default.
• W1498291880 hasPrimaryLocation W14982918801 @default.
• W1498291880 hasRelatedWork W113273329 @default.
• W1498291880 hasRelatedWork W1510277376 @default.
• W1498291880 hasRelatedWork W1512294623 @default.
• W1498291880 hasRelatedWork W1527847957 @default.
• W1498291880 hasRelatedWork W1578325155 @default.
• W1498291880 hasRelatedWork W1598720662 @default.
• W1498291880 hasRelatedWork W1603358448 @default.
• W1498291880 hasRelatedWork W1964095328 @default.
• W1498291880 hasRelatedWork W1973737497 @default.
• W1498291880 hasRelatedWork W1998279580 @default.
• W1498291880 hasRelatedWork W2010882186 @default.
• W1498291880 hasRelatedWork W2033488513 @default.
• W1498291880 hasRelatedWork W2038529772 @default.
• W1498291880 hasRelatedWork W2073006501 @default.
• W1498291880 hasRelatedWork W2077205251 @default.
• W1498291880 hasRelatedWork W2084184313 @default.
• W1498291880 hasRelatedWork W2136040455 @default.
• W1498291880 hasRelatedWork W2158724647 @default.
• W1498291880 hasRelatedWork W240040729 @default.
• W1498291880 hasRelatedWork W3106212946 @default.
• W1498291880 isParatext "false" @default.
• W1498291880 isRetracted "false" @default.
• W1498291880 magId "1498291880" @default.
• W1498291880 workType "article" @default.