Matches in SemOpenAlex for { <https://semopenalex.org/work/W3015220263> ?p ?o ?g. }
- W3015220263 abstract "We fully describe the doubly stochastic orbit of a self-adjoint element in the noncommutative $L_1$-space affiliated with a semifinite von Neumann algebra, which answers a problem posed by Alberti and Uhlmann in the 1980s, extending several results in the literature. It follows further from our methods that, for any $sigma$-finite von Neumann algebra $mathcal{M}$ equipped a semifinite infinite faithful normal trace $tau$, there exists a self-adjoint operator $yin L_1(mathcal{M},tau)$ such that the doubly stochastic orbit of $y$ does not coincide with the orbit of $y$ in the sense of Hardy--Littlewood--P'{o}lya, which confirms a conjecture by Hiai. However, we show that Hiai's conjecture fails for non-$sigma$-finite von Neumann algebras. The main result of the present paper also answers the (noncommutative) infinite counterparts of problems due to Luxemburg and Ryff in the 1960s." @default.
- W3015220263 created "2020-04-17" @default.
- W3015220263 creator A5037022930 @default.
- W3015220263 creator A5051002657 @default.
- W3015220263 date "2020-04-07" @default.
- W3015220263 modified "2023-09-27" @default.
- W3015220263 title "Alberti--Uhlmann problem on Hardy--Littlewood--P'{o}lya majorization" @default.
- W3015220263 cites W1499500817 @default.
- W3015220263 cites W1524878283 @default.
- W3015220263 cites W1533213248 @default.
- W3015220263 cites W1737175087 @default.
- W3015220263 cites W1842445142 @default.
- W3015220263 cites W1965146527 @default.
- W3015220263 cites W1967075351 @default.
- W3015220263 cites W1977060635 @default.
- W3015220263 cites W1978843298 @default.
- W3015220263 cites W1985078991 @default.
- W3015220263 cites W1992095684 @default.
- W3015220263 cites W1994639412 @default.
- W3015220263 cites W1997314000 @default.
- W3015220263 cites W2006309149 @default.
- W3015220263 cites W2009307976 @default.
- W3015220263 cites W2013819289 @default.
- W3015220263 cites W2022806724 @default.
- W3015220263 cites W2043805475 @default.
- W3015220263 cites W2049510219 @default.
- W3015220263 cites W2057540042 @default.
- W3015220263 cites W2057758839 @default.
- W3015220263 cites W2059761187 @default.
- W3015220263 cites W2069649888 @default.
- W3015220263 cites W2076062141 @default.
- W3015220263 cites W2077524648 @default.
- W3015220263 cites W2078742711 @default.
- W3015220263 cites W2084233681 @default.
- W3015220263 cites W2084807194 @default.
- W3015220263 cites W2091347242 @default.
- W3015220263 cites W2093627061 @default.
- W3015220263 cites W2107596431 @default.
- W3015220263 cites W2110870795 @default.
- W3015220263 cites W2136776648 @default.
- W3015220263 cites W2159628417 @default.
- W3015220263 cites W2275553644 @default.
- W3015220263 cites W2315289492 @default.
- W3015220263 cites W2318182639 @default.
- W3015220263 cites W2320266418 @default.
- W3015220263 cites W2322426021 @default.
- W3015220263 cites W2331274486 @default.
- W3015220263 cites W2331578546 @default.
- W3015220263 cites W2334234490 @default.
- W3015220263 cites W250374846 @default.
- W3015220263 cites W2792961909 @default.
- W3015220263 cites W2963104375 @default.
- W3015220263 cites W2963489419 @default.
- W3015220263 cites W2964194985 @default.
- W3015220263 cites W2964344048 @default.
- W3015220263 cites W2969483165 @default.
- W3015220263 cites W2982529259 @default.
- W3015220263 cites W3005542316 @default.
- W3015220263 cites W3008746888 @default.
- W3015220263 cites W3101408003 @default.
- W3015220263 cites W3101461530 @default.
- W3015220263 cites W3144969279 @default.
- W3015220263 cites W646056889 @default.
- W3015220263 cites W2022670009 @default.
- W3015220263 cites W2589102523 @default.
- W3015220263 doi "https://doi.org/10.48550/arxiv.2004.03197" @default.
- W3015220263 hasPublicationYear "2020" @default.
- W3015220263 type Work @default.
- W3015220263 sameAs 3015220263 @default.
- W3015220263 citedByCount "0" @default.
- W3015220263 crossrefType "posted-content" @default.
- W3015220263 hasAuthorship W3015220263A5037022930 @default.
- W3015220263 hasAuthorship W3015220263A5051002657 @default.
- W3015220263 hasBestOaLocation W30152202631 @default.
- W3015220263 hasConcept C100376341 @default.
- W3015220263 hasConcept C104317684 @default.
- W3015220263 hasConcept C114614502 @default.
- W3015220263 hasConcept C121332964 @default.
- W3015220263 hasConcept C136119220 @default.
- W3015220263 hasConcept C138081561 @default.
- W3015220263 hasConcept C14394260 @default.
- W3015220263 hasConcept C144133476 @default.
- W3015220263 hasConcept C153408630 @default.
- W3015220263 hasConcept C158448853 @default.
- W3015220263 hasConcept C17020691 @default.
- W3015220263 hasConcept C185592680 @default.
- W3015220263 hasConcept C202444582 @default.
- W3015220263 hasConcept C2777818330 @default.
- W3015220263 hasConcept C2778049214 @default.
- W3015220263 hasConcept C2780990831 @default.
- W3015220263 hasConcept C33923547 @default.
- W3015220263 hasConcept C55493867 @default.
- W3015220263 hasConcept C62520636 @default.
- W3015220263 hasConcept C68797384 @default.
- W3015220263 hasConcept C80469333 @default.
- W3015220263 hasConcept C86339819 @default.
- W3015220263 hasConceptScore W3015220263C100376341 @default.
- W3015220263 hasConceptScore W3015220263C104317684 @default.
- W3015220263 hasConceptScore W3015220263C114614502 @default.
- W3015220263 hasConceptScore W3015220263C121332964 @default.