数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (3): 423-432.
杨长森,郭秋丽,赵俊峰
YANG Chang-Sen, GUO Qiu-Li, DIAO Dun-Feng
摘要:
A necessary and sufficient condition for the generalized shift operator
T = Sk − (a(1)
1 , a(1)
2 , · · ·)
e1 − · · · − (a(j)
1 , a(j)
2 , · · ·)
ej (j k)
on l1 to be power bounded is obtained. Moreover,this note points out that the power
bounded operator T = S − (1, 1, · · ·)
e1 can shift a basis of [ej+1 − ej ]1
j=1,and this basis
is not equivalent to {Tne1}1
n=0.
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