JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (12): 178-182.doi: 10.6040/j.issn.1671-9352.0.2024.106

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The Browders theorem of AB and BA

LIU Ni, JIAO Hongying, WANG Yali   

  1. Department of Basic, Air Force Engineering University, Xian 710051, Shaanxi, China
  • Published:2025-12-10

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Abstract: Let H be complex separable Hilbert spaces. Let A,B denote the set of bounded linear operators on H. By using the method of operator block, the equivalence of Browders theorem holding for AB and BA is given, which is equivalent to Browders theorem holding for AB⊕BA.

Key words: Hilbert spaces, Browders theorem, Weyls theorem, spectrum

CLC Number: 

  • O177.2
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