ダウンロード数: 108
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
B93-05.pdf | 153.02 kB | Adobe PDF | 見る/開く |
完全メタデータレコード
DCフィールド | 値 | 言語 |
---|---|---|
dc.contributor.author | KO, Eungil | en |
dc.contributor.author | LEE, Ji Eun | en |
dc.contributor.author | LEE, Mee-Jung | en |
dc.date.accessioned | 2023-08-31T01:00:23Z | - |
dc.date.available | 2023-08-31T01:00:23Z | - |
dc.date.issued | 2023-07 | - |
dc.identifier.uri | http://hdl.handle.net/2433/284874 | - |
dc.description.abstract | We study various properties of $C$-normal operators, i.e., $T*T$ = $CTT*C$ holds for a conjugation $C$ on $H$. Especially, we show that $T$ − λ$I$ is $C$-normal for all λ ∈ ℂ if and only if $T$ is a complex symmetric operator with the conjugation $C$. In addition, we prove that if $T$ is $C$-normal, then $T$ is normal ⇔ $T$ is quasinormal ⇔ $T$ is hyponormal ⇔ $T$ is $p$-hyponormal for 0 < $p$ ≤ 1. Finally, we investigate equivalent conditions so that Aluthge and Duggal transforms of $C$-normal operators to be $C$-normal operators. | en |
dc.language.iso | eng | - |
dc.publisher | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.publisher.alternative | 京都大学数理解析研究所 | ja |
dc.rights | © 2023 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. | en |
dc.subject | 47A05 | en |
dc.subject | 47B15 | en |
dc.subject | 47B20 | en |
dc.subject | $C$-normal operator | en |
dc.subject | complex symmetric operator | en |
dc.subject | operator transforms | en |
dc.subject.ndc | 410 | - |
dc.title | Properties of $C$-normal operators (Research on preserver problems on Banach algebras and related topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AA12196120 | - |
dc.identifier.jtitle | 数理解析研究所講究録別冊 | ja |
dc.identifier.volume | B93 | - |
dc.identifier.spage | 117 | - |
dc.identifier.epage | 124 | - |
dc.textversion | publisher | - |
dc.sortkey | 05 | - |
dc.address | Department of Mathematics, Ewha Womans University | en |
dc.address | Department of Mathematics and Statistics, Sejong University | en |
dc.address | College of General Education, Kookmin University | en |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1881-6193 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku Bessatsu | en |
出現コレクション: | B93 Research on preserver problems on Banach algebras and related topics |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。