Non-linearity of the Set of p-quasi-analytic Vectors for Some Essentially Self-adjoint Operators

Jan Rusinek

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Non-linearity of the Set of p-quasi-analytic Vectors for Some Essentially Self-adjoint Operators

机译：一些本质上自伴算子的p-拟解析向量集的非线性

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摘要

We show that, for any p ≥ 1, there exists an essentially self-adjoint operator for which the set of p-quasi-analytic vectors is not linear.

机译：我们表明，对于任何p≥1，存在一个本质上自伴算子，其p拟分析向量的集合不是线性的。

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来源
《Bulletin of the Polish Academy of Sciences. Mathematics》 |2000年第3期|共6页
作者
Jan Rusinek;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
self-adjoint operators; p-analytic vectors; Jacobi matrix;

机译：自伴算子;p-解析向量;Jacobi矩阵;

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专利

1. Non-linearity of the Set of p-quasi-analytic Vectors for Some Essentially Self-adjoint Operators [J] . Jan Rusinek Bulletin of the Polish Academy of Sciences. Mathematics . 2000,第3期

机译：一些本质上自伴算子的p-拟解析向量集的非线性
2. CHARACTERIZATIONS OF ESSENTIALLY SELF-ADJOINT AND SKEW-ADJOINT OPERATORS [J] . Sebestyen Zoltan, Tarcsay Zsigmond Studia Scientiarum Mathematicarum Hungarica . 2015,第3期

机译：基本自伴算子和偏向算子的特征
3. Certain nontrivially essentially self-adjoint weighted composition operators on H~2 and A_α~2 [J] . Mahsa Fatehi, Mahmood Haji Shaabani Complex variables and elliptic equations . 2014,第11a12期

机译：H〜2和A_α〜2上的某些非平凡的基本自伴加权合成算子
4. Variational approach to solution of nonlinear vector spectral problem for the case of self-adjoint positively semi-defined operators [C] . Savenko, P.O., Protsakh, . 2003

机译：自伴正半定义算子的非线性矢量谱问题的变分解法
5. An upper estimate for the distance to the essentially G(1) operators. [D] . Al-Musallam, Fadhel Abdulazeez. 1989

机译：到基本上是G（1）运算符的距离的上限估计。
6. EIGENFUNCTION EXPANSIONS FOR FORMALLY SELF-ADJOINT PARTIAL DIFFERENTIAL OPERATORS. I [O] . Felix E. Browder 1956

机译：正规自伴偏微分算子的特征函数展开。一世
7. Essentially subnormal operators and $K$-spectral sets [O] . Ridgley Lange 1983

机译：基本上是子正式运算符和$ k $ -pectral集
8. On Sets of Positive Linear Operators in Topological Vector Spaces [R] . Ritter, K. 1967

机译：拓扑向量空间中的正线性算子集

Non-linearity of the Set of p-quasi-analytic Vectors for Some Essentially Self-adjoint Operators

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