A peculiarity of the creation operator

被引：10
|
作者：
Stochel, J [1 ]
Szafraniec, FH [1 ]
机构：
[1] Jagiellonian Univ, Inst Matemat, PL-30059 Krakow, Poland
来源：
GLASGOW MATHEMATICAL JOURNAL | 2002年 / 44卷
关键词：
D O I：
10.1017/S0017089502010091
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that the creation operator is the only (up to a multiplicative constant) injective weighted shift all of whose translations (or at least one) are still injective weighted shifts regardless of what the weight sequences and the bases are. A similar result is true for the annihilation operator as well as for the Heisenberg and Schrodinger couples.
引用
收藏
页码：137 / 147
页数：11
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