JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2014, Vol. 49 ›› Issue (10): 56-61.doi: 10.6040/j.issn.1671-9352.0.2014.075

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A note on operator matrixs

CUI Miao-miao, WANG Bi-yu, CAO Xiao-hong   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, Shaanxi, China
  • Received:2014-03-03 Online:2014-10-20 Published:2014-11-10

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Abstract: Let H be a separable complex Hilbert space and B(H) be the algebra of all bounded linear operators. Let  be an operator matrix, which acts on B(H⊕H). We character the compact perturbations of single-valued extension property and Browder theorem about T by A's respectively, when Bk=0(k∈N and k≥2), AB=BA.

Key words: Browder theorem, compact perturbations, single-valued extension property

CLC Number: 

  • O177.2
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