Ranks of complex skew symmetric operators and applications to Toeplitz operators(star)
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chen, Yong | - |
dc.contributor.author | Koo, Hyungwoon | - |
dc.contributor.author | Lee, Young Joo | - |
dc.date.accessioned | 2021-09-04T16:04:20Z | - |
dc.date.available | 2021-09-04T16:04:20Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2015-05-15 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/93545 | - |
dc.description.abstract | We study the rank of complex skew symmetric operators on separable Hilbert spaces. We prove that a finite rank complex skew symmetric operator can't have an odd rank. As applications, we show that any finite rank commutator of two Toeplitz operators on the pluriharmonic Bergman space of the ball can't have an odd rank. We also show that for any positive even integer N, there are two Toeplitz operators whose commutator is exactly of rank N. Also we obtain the similar result for certain truncated Toeplitz operators. (C) 2015 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Ranks of complex skew symmetric operators and applications to Toeplitz operators(star) | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Koo, Hyungwoon | - |
dc.identifier.doi | 10.1016/j.jmaa.2015.01.005 | - |
dc.identifier.scopusid | 2-s2.0-84922920409 | - |
dc.identifier.wosid | 000349811400008 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.425, no.2, pp.734 - 747 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 425 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 734 | - |
dc.citation.endPage | 747 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Complex skew symmetric operators | - |
dc.subject.keywordAuthor | Rank | - |
dc.subject.keywordAuthor | Toeplitz operators | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.