Fuglede-putnam theorem for (p, k)-quasihyponormal and class (Y )operators
dc.contributor.author | Bakir, Aissa Nasli | |
dc.date.accessioned | 2024-07-12T20:51:10Z | |
dc.date.available | 2024-07-12T20:51:10Z | |
dc.date.issued | 2009 | en_US |
dc.department | Fakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | Let A and B be normal operators on a complex separable Hilbert space H. The equation AX = XB implies A ?X = XB? for some operatorX on H ino itself is known as the familiar Fuglede-Putnam theorem. An operator A ? B(H) is said to be log-hyponormal if A is invertible and log(A ?A) ? log(AA? ), class (Y ) if there exist ? ? 1 and k? > 0 such that |AA? ? A ?A| ? ? k 2 ? (A ? ?) ? (A ? ?) for all ? ? C, dominant if ran(A ? ?) ? ran(A ? ?) ? for all ? ? ?(A) where ?(A) denotes the spectrum ofA. A is called (p, k)-quasihyponormal if A ?k ((A ?A) p ? (AA? ) p )A k ? 0, k ? N, 0 < p ? 1. In this talk, we’ll give an extension of Fuglede-Putnam’s result to the case when either 1) A is log-hyponormal operator and B ? is a class (Y ) operator 2) A is (p, k)-quasihyponormal operator with ker A ? ker A ? and B ? is dominant. Other results are also given. | en_US |
dc.identifier.citation | Bakir, A. N. (2009). Fuglede-putnam theorem for (p, k)-quasihyponormal and class (Y )operators. Maltepe Üniversitesi. s. 76. | en_US |
dc.identifier.endpage | 77 | en_US |
dc.identifier.isbn | 9.78605E+12 | |
dc.identifier.startpage | 76 | en_US |
dc.identifier.uri | https://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=76 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12415/2368 | |
dc.institutionauthor | Bakir, Aissa Nasli | |
dc.language.iso | en | en_US |
dc.publisher | Maltepe Üniversitesi | en_US |
dc.relation.ispartof | International Conference of Mathematical Sciences | en_US |
dc.relation.publicationcategory | Uluslararası Konferans Öğesi - Başka Kurum Yazarı | en_US |
dc.rights | CC0 1.0 Universal | * |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights.uri | http://creativecommons.org/publicdomain/zero/1.0/ | * |
dc.snmz | KY07733 | |
dc.title | Fuglede-putnam theorem for (p, k)-quasihyponormal and class (Y )operators | en_US |
dc.type | Conference Object | |
dspace.entity.type | Publication |