期刊论文详细信息
Canadian mathematical bulletin | |
Rearrangement-Invariant Functionals with Applications to Traces on Symmetrically Normed Ideals | |
关键词: isoperimetric functions; Dehn functions; hyperbolic groups; | |
DOI : 10.4153/CMB-2008-009-3 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
We present a construction of singular rearrangementinvariant functionals on Marcinkiewicz function/operator spaces.The functionals constructed differ from all previous examples inthe literature in that they fail to be symmetric. In other words,the functional $phi$ fails the condition that if $xpprec y$(Hardy-Littlewood-Polya submajorization) and $0leq x,y$, then$0le phi(x)le phi(y).$ We apply our results to singular traceson symmetric operator spaces (in particular onsymmetrically-normed ideals of compact operators), answeringquestions raised by Guido and Isola.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050576565ZK.pdf | 36KB | download |