AN OPERATOR STILL NOT SATISFYING LOMONOSOVS HYPOTHESIS

被引：8

作者：

HADWIN, D

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 10期

关键词：

D O I：

10.2307/2160657

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It was shown that quasianalytic unilateral shifts do not satisfy the hypothesis of a famous invariant subspace theorem of V. Lomonosov. We prove that these same shifts do not satisfy the hypothesis of Lomonosov's recent improvement of his theorem.

引用

页码：3039 / 3041

页数：3

共 5 条

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[2] AN OPERATOR NOT SATISFYING LOMONOSOVS HYPOTHESIS [J].

HADWIN, DW ;

NORDGREN, EA ;

RADJAVI, H ;

ROSENTHAL, P .

JOURNAL OF FUNCTIONAL ANALYSIS, 1980, 38 (03) :410-415

[3] AN EXTENSION OF BURNSIDE THEOREM TO INFINITE-DIMENSIONAL SPACES [J].

LOMONOSOV, V .

ISRAEL JOURNAL OF MATHEMATICS, 1991, 75 (2-3) :329-339

[4]

LOMONOSOV VI, 1973, FUNCTIONAL ANAL APPL, V7, P213

[5]

Rudin W., 1987, REAL COMPLEX ANAL

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