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dc.contributor.author | Benhida, Chafiq | en |
dc.date.accessioned | 2021-11-25T08:26:13Z | - |
dc.date.available | 2021-11-25T08:26:13Z | - |
dc.date.issued | 2021-10 | - |
dc.identifier.uri | http://hdl.handle.net/2433/266246 | - |
dc.description | This is a joint work with Raul E. Curto | en |
dc.description.abstract | Given a bounded linear operator T with canonical polar decomposition T = V|T|, the Aluthge transform of T is the operator Δ(T) := √|T|V √|T|. For P an arbitrary positive operator such that VP = T, we define the extended Aluthge transform of T associated with P by Δp(T) := √PV √P. First, we establish some basic properties of Δp; second, we study the fixed points of the extended Aluthge transform; third, we consider the case when T is an idempotent; next, we discuss whether Δp leaves invariant the class of complex symmetric operators. We also study how Δp transforms the numerical radius and numerical range. As a key application, we prove that the spherical Aluthge transform of a commuting pair of operators corresponds to the extended Aluthge transform of a 2 x 2 operator matrix built from the pair; thus, the theory of extended Aluthge transforms yields results for spherical Aluthge transforms. | en |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject.ndc | 410 | - |
dc.title | Extended Aluthge Transforms and Applications (Research on structure of operators by order and related topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2202 | - |
dc.identifier.spage | 35 | - |
dc.identifier.epage | 35 | - |
dc.textversion | publisher | - |
dc.sortkey | 06 | - |
dc.address | Department of Mathematics, Université de Lille | en |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1880-2818 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2202 順序を用いた作用素の構造研究と関連する話題 |
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