On Means of Nonnegative Sesquilinear Forms

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• 作者：T. Titkos (1)
  
• 关键词：positive operator ; nonnegative sesquilinear form ; parallel sum ; geometric mean ; harmonic mean ; Gaussian mean ; Lebesgue ; type decomposition ; almost dominated part ; singular part ; finitely additive measure ; primary 47A64 ; 15A63 ; 47B65 ; secondary 28A12
• 刊名：Acta Mathematica Hungarica
• 出版年：2014
• 出版时间：August 2014
• 年：2014
• 卷：143
• 期：2
• 页码：515-533
• 全文大小：322 KB
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• 作者单位：T. Titkos (1)
  
  1. Department of Applied Analysis, E枚tv枚s Lor谩nd University, P谩zm谩ny P茅ter s茅t谩ny 1/c, H-1117, Budapest, Hungary
  
• ISSN：1588-2632

文摘

The aim of this paper is to generalize the theory of operator connections for nonnegative sesquilinear forms. As an application, we investigate the case of bounded finitely additive set functions. One of the most important connections in this setting is the parallel sum. We introduce this notion, and in addition, we present a Lebesgue-type decomposition theorem for such functions.