Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 고응일 | * |
dc.contributor.author | 이미정 | * |
dc.date.accessioned | 2022-08-02T16:30:03Z | - |
dc.date.available | 2022-08-02T16:30:03Z | - |
dc.date.issued | 2022 | * |
dc.identifier.issn | 1331-4343 | * |
dc.identifier.other | OAK-31859 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/261613 | - |
dc.description.abstract | For a nonnegative integer k, an operator T is an element of L(H) is called a backward Aluthge iterate of a complex symmetric operator of order k if the kth Aluthge iterate (T) over tilde ((k)) of T is a complex symmetric operator, denoted by T is an element of BAIC(k). In this paper, we study several properties of the backward Aluthge iterate of a complex symmetric operator. We show that every nilpotent operator of order k + 2 belongs to BAIC(k). Moreover. we prove that if T belongs to BAIC(k), then T has the property (beta) if and only if T is decomposable. Finally, we show that. under some conditions. operators in BAIC(k) have nontrivial hyperinvariant subspaces and we consider Weyl type theorems for such operators. | * |
dc.language | English | * |
dc.publisher | ELEMENT | * |
dc.subject | Backward Aluthge iterate | * |
dc.subject | complex symmetric operator | * |
dc.subject | second keyword | * |
dc.subject | nilpotent operator | * |
dc.subject | hyperinvariant subspace | * |
dc.subject | Weyl's type theorem | * |
dc.title | ON BACKWARD ALUTHGE ITERATES OF COMPLEX SYMMETRIC OPERATORS | * |
dc.type | Article | * |
dc.relation.issue | 2 | * |
dc.relation.volume | 25 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 379 | * |
dc.relation.lastpage | 395 | * |
dc.relation.journaltitle | MATHEMATICAL INEQUALITIES & APPLICATIONS | * |
dc.identifier.doi | 10.7153/mia-2022-25-23 | * |
dc.identifier.wosid | WOS:000829271700001 | * |
dc.author.google | Ko, Eungil | * |
dc.author.google | Lee, Ji Eun | * |
dc.author.google | Lee, Mee-Jung | * |
dc.contributor.scopusid | 고응일(57217846069) | * |
dc.contributor.scopusid | 이미정(57213193735;36760960100) | * |
dc.date.modifydate | 20240116125046 | * |