具有张量简单谱的酉流

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-04-13 DOI:10.1134/S0016266322040116

V. V. Ryzhikov

引用次数: 0

摘要

对于任意可数的\(Q\subset (0,+\infty)\)，构造了具有动力起源的酉流\(T_t\)，其张量积\(\bigotimes_{q\in Q} T_q \)的谱是简单的。所有保持有限测度的典型流都具有这种性质。

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Unitary Flows with Tensor Simple Spectrum

Unitary flows \(T_t\) of dynamical origin such that, for any countable \(Q\subset (0,+\infty)\), the spectrum of the tensor product \(\bigotimes_{q\in Q} T_q \) is simple are constructed. All typical flows preserving a sigma-finite measure have this property.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.