Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (3): 702-706.

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Some Properties about Band Operators

Jieyi Huang(),Na Cheng*()   

  1. School of Science, Xihua University, Chengdu 610039
  • Received:2024-05-17 Revised:2025-01-26 Online:2025-06-26 Published:2025-06-20
  • Supported by:
    NSFC(12301122)

Abstract:

The paper first gives the relationship between band operators and band preserving operators, band operators and orthomorphism, and second gives the condition that the inverse of an invertible band operator is a band operator by using the rich center property in Riesz spaces.

Key words: band operator, inverse of band operator, ideal center, band preserving operator

CLC Number: 

  • O177
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