数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (4): 1100-1104.doi: 10.1016/S0252-9602(10)60107-5
M. Faghih Ahmadi, K. Hedayatian
M. Faghih Ahmadi, K. Hedayatian
摘要:
By an elementary proof, we use a result of Conway and Dudziak to show that if A is a hyponormal operator with spectral radius r(A) such that its spectrum is the closed disc {z:|z| ≤ r(A)} then A is reflexive. Using this result, we give a simple proof of a result of Bercovici, Foias, and Pearcy on reflexivity of shift operators. Also, it is shown that every power of an invertible bilateral weighted shift is reflexive.
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