THE SCHUR-HORN THEOREM FOR OPERATORS WITH FINITE SPECTRUM
| dc.contributor.author | Bhat, B. V. Rajarama | |
| dc.contributor.author | Ravichandran, Mohan | |
| dc.date.accessioned | 2024-07-18T20:52:21Z | |
| dc.date.available | 2024-07-18T20:52:21Z | |
| dc.date.issued | 2014 | |
| dc.department | İstanbul Bilgi Üniversitesi | en_US |
| dc.description.abstract | The carpenter problem in the context of II1 factors, formulated by Kadison, asks: Let A subset of M be a masa in a type II1 factor and let E be the normal conditional expectation from M onto A. Then, is it true that for every positive contraction A in A, there is a projection P in M such that E(P) = A? In this note, we show that this is true if A has finite spectrum. We will then use this result to prove an exact Schur-Horn theorem for positive operators with finite spectrum in type II1 factors and an approximate Schur-Horn theorem for general positive operators in type II1 factors. | en_US |
| dc.description.sponsorship | Sabanci University | en_US |
| dc.description.sponsorship | The authors would like to thank Sabanci University for a research grant that supported the visit of the first author to Sabanci University, Istanbul, in September 2011, when part of this work was done. The second author would also like to thank Matt Daws for pointing out Mathoverflow, a result of Takesaki that is mentioned in the last section. | en_US |
| dc.identifier.endpage | 3453 | en_US |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.issn | 1088-6826 | |
| dc.identifier.issue | 10 | en_US |
| dc.identifier.startpage | 3441 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11411/8630 | |
| dc.identifier.volume | 142 | en_US |
| dc.identifier.wos | WOS:000342299400013 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Mathematical Soc | en_US |
| dc.relation.ispartof | Proceedings of The American Mathematical Society | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Subalgebras | en_US |
| dc.title | THE SCHUR-HORN THEOREM FOR OPERATORS WITH FINITE SPECTRUM | en_US |
| dc.type | Article | en_US |
