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.

引用

页码：837 / 853

页数：17

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