Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (4): 811-816.

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Some Equivalent Characterizations of Product Commutativity of Oblique Projectors

SONG Xianhua1, JIA Yangjie2   

  1. 1. College of Mathematics and Statistics, Qinghai Normal University, Xining 810008, China;
    2. College of Nationalities Normal, Qinghai Normal University, Xining 810008, China
  • Received:2021-10-04 Online:2022-07-26 Published:2022-07-26

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Abstract: Products commutativity of two oblique projectors on a complex Banach space was studied by using operator matrices block technique. By using {1}-,{1,5}-,{2,5}-inverses and group inverses of some algebraic combinations, such as sum, difference and product of two oblique projectors, equivalent characterizations of product commutability of two oblique projectors were given.

Key words: oblique projector, group inverse, product commutativity

CLC Number: 

  • O153.3
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