BIISOMETRIC OPERATORS AND BIORTHOGONAL SEQUENCES

被引：2
|
作者：
Kubrusly, Carlos [1 ]
Levan, Nhan [2 ]
机构：
[1] Fed Univ, Appl Math Dept, Rio De Janeiro, Brazil
[2] Univ Calif Los Angeles, Elect Engn Dept, Los Angeles, CA USA
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2019年 / 56卷 / 03期
关键词：
biisometric operators; biorthogonal sequences; unilateral shifts; Hilbert spaces;
D O I：
10.4134/BKMS.b180242
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a pair of Hilbert space operators V and W such that V*W = I (called a biisometric pair) shares some common properties with unilateral shifts when orthonormal bases are replaced with biorthogonal sequences, and it is also shown how such a pair of biisometric operators yields a pair of biorthogonal sequences which are shifted by them. These are applied to a class of Laguerre operators on L-2[0, infinity).
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页码：585 / 596
页数：12
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