Some new results related to compact matrix operators in the class ((?/em> p ) T , ?/em> ?/sub>)

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• 作者：Katarina Petkovi?
• 关键词：BK spaces ; bounded and compact linear operators ; Hausdorff measure of noncompactness ; 46B45 ; 47B37
• 刊名：Acta Mathematica Sinica
• 出版年：2015
• 出版时间：August 2015
• 年：2015
• 卷：31
• 期：8
• 页码：1339-1347
• 全文大小：219 KB
• 参考文献：[1]Djolovi?, I.: Two ways to compactness. Filomat, 17, 15-1 (2003)View Article
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• 作者单位：Katarina Petkovi? (1)
  
  1. Faculty of Civil Engineering and Architecture, University of Ni?, Aleksandra Medvedova 14, 18000, Ni?, Serbia
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Chinese Library of Science
  
• 出版者：Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, co-published
• ISSN：1439-7617

文摘

The main goal of this paper is to establish necessary and sufficient conditions for a matrix A ?((?/em> p ) T , ?/em> ?/sub>), where T is an arbitrary triangle, 1 ?p ?? to be a compact operator. In the past, only sufficient conditions were established in almost all of those cases, by using the Hausdorff measure of noncompactness. We improve those results by applying another method for the characterizations of compact linear operators between BK spaces.