Chinese Quarterly Journal of Mathematics ›› 2004, Vol. 19 ›› Issue (1): 51-56.

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Regularity of Continuous Linear Operators on Banach Function Spaces

  

  1.  1.Department of Computer Science and Mathematics, Chongqing Three Gorges College, Chongqing 404000, China; 2.Department of Applied Mathematics, Southwest Jiaotong University, Chengdu 610031, China
  • Received:2002-05-20 Online:2004-03-30 Published:2024-03-26
  • About author:JIANG Nian-sheng(1957-),male,native of Chongqing,an associate professor of Chongqing Three Gorges College,engages in function analysis;CHEN Zi-li(1961-),male,native of Neijing,Sichuan,a professor of Southwest Jiaotong University,Ph.D.,engages in function analysis.
  • Supported by:
     The questions were posed during B. de Pagter was visiting the Queen’s University of Belfast in Spring 1997, whilst the second author stayed at Belfast;

Abstract:  In this paper we present some characterizations of Banach function spaces on which every continuous linear operator is regular.

Key words: Banach function space, continuous linear operator, regular

CLC Number: