Randomized Operators on \({n\times n}\) Matrices and Applications

详细信息    查看全文

• 作者：S. V. Astashkin ; F. A. Sukochev
• 关键词：Rearrangement invariant space ; symmetric sequence space ; independent random variables ; doubly stochastic matrix ; Orlicz space
• 刊名：Integral Equations and Operator Theory
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：86
• 期：3
• 页码：333-358
• 全文大小：676 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1420-8989
• 卷排序：86

文摘

Some combinatorial and probabilistic estimates motivated by earlier works due to S. Kwapien and C. Schütt are proved. We study these estimates in the general setting of rearrangement invariant function and sequence spaces and identify the class of function spaces in which such estimates hold. We demonstrate the sharpness of our results and present some applications, one of which is an alternative proof of a familiar Raynaud–Schütt theorem describing symmetric subspaces in \({L_1}\).