ON THE WEAKLY CLOSED ALGEBRA GENERATED BY A UNITARY OPERATOR IN A PONTRYAGIN SPACE

被引：1
|
作者：
Strauss, Vladimir [1 ]
机构：
[1] Uliyanovsk State Pedag Univ, Uliyanovsk, Russia
来源：
OPERATORS AND MATRICES | 2018年 / 12卷 / 03期
关键词：
Pontryagin spaces; unitary operators; inverse operator; weakly closed operator algebra; SPECTRAL FUNCTIONS;
D O I：
10.7153/oam-2018-12-50
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is devoted to a study of a weakly closed algebra generated by polynomials of a unitary operator in a Pontryagin space. In particular, the inverse operator can belong or not to this algebra. The corresponding criteria is obtained.
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页码：837 / 853
页数：17
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