Numerical ranges and complex symmetric operators in semi-inner-product spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | An, Il Ju | - |
dc.contributor.author | Heo, Jaeseong | - |
dc.date.accessioned | 2023-05-03T11:17:17Z | - |
dc.date.available | 2023-05-03T11:17:17Z | - |
dc.date.created | 2022-12-07 | - |
dc.date.issued | 2022-11 | - |
dc.identifier.issn | 1025-5834 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/185202 | - |
dc.description.abstract | We introduce the numerical range of a bounded linear operator on a semi-inner-product space. We compute the numerical ranges of some operators on ℓ2p(C)(1 ≤ p< ∞ ) and show that the numerical range of the backward shift on an infinite-dimensional space ℓp is the open unit disc. We define a conjugation and a complex symmetric operator on a semi-inner-product space and discuss complex symmetry in the dual space. We prove some properties of a generalized adjoint of a complex symmetric operator. We also show that the numerical range of the complex conjugation on ℓnp(n≥ 2 ) is the closed unit disc. Finally, we discuss the sequentially essential numerical ranges of operators on a semi-inner-product space. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Institute for Ionics | - |
dc.title | Numerical ranges and complex symmetric operators in semi-inner-product spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.1186/s13660-022-02886-x | - |
dc.identifier.scopusid | 2-s2.0-85142483629 | - |
dc.identifier.wosid | 000888807600001 | - |
dc.identifier.bibliographicCitation | Journal of Inequalities and Applications, v.2022, no.1, pp.1 - 15 | - |
dc.relation.isPartOf | Journal of Inequalities and Applications | - |
dc.citation.title | Journal of Inequalities and Applications | - |
dc.citation.volume | 2022 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1 | - |
dc.citation.endPage | 15 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Semi-inner-product space | - |
dc.subject.keywordAuthor | Numerical range | - |
dc.subject.keywordAuthor | Conjugations | - |
dc.subject.keywordAuthor | Complex symmetric operators | - |
dc.subject.keywordAuthor | Generalized adjoint | - |
dc.identifier.url | https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02886-x | - |
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