Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 고응일 | * |
dc.date.accessioned | 2016-08-28T11:08:31Z | - |
dc.date.available | 2016-08-28T11:08:31Z | - |
dc.date.issued | 2003 | * |
dc.identifier.issn | 0024-3795 | * |
dc.identifier.other | OAK-1712 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/219330 | - |
dc.description.abstract | Let T be a cyclic subnormal operator on a Hilbert space ℋ with cyclic vector x0 and let γij:=(T*iT jx0,x0), for any i,j ∈ ℕ ∪ {0}. The Bram-Halmos' characterization for subnormality of T involved a moment matrix M(n). In a parallel approach, we construct a moment matrix E(n) corresponding to Embry's characterization for subnormality of T. We discuss the relationship between M(n) and E(n) via the full moment problem. Next, given a collection of complex numbers γ≡{γij} (0 ≤ i + j ≤ 2n, |i-j| ≤ n) with γ00 > 0 and γ ji = γ̄ij, we consider the truncated complex moment problem for γ; this entails finding a positive Borel measure μ supported in the complex plane ℂ such that γij = ∫z̄izjdμ(z). We show that this moment problem can be solved when E(n) ≥ 0 and E(n) admits a flat extension E(n + k), where k = 1 when n is odd and k = 2 when n is even. © 2003 Elsevier Inc. All rights reserved. | * |
dc.language | English | * |
dc.title | Embry truncated complex moment problem | * |
dc.type | Article | * |
dc.relation.issue | 1-3 | * |
dc.relation.volume | 375 | * |
dc.relation.index | SCI | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 95 | * |
dc.relation.lastpage | 114 | * |
dc.relation.journaltitle | Linear Algebra and Its Applications | * |
dc.identifier.doi | 10.1016/S0024-3795(03)00617-7 | * |
dc.identifier.wosid | WOS:000186340700008 | * |
dc.identifier.scopusid | 2-s2.0-0142062893 | * |
dc.author.google | Jung I.B. | * |
dc.author.google | Ko E. | * |
dc.author.google | Li C. | * |
dc.author.google | Park S.S. | * |
dc.contributor.scopusid | 고응일(57217846069) | * |
dc.date.modifydate | 20240116125046 | * |