Absolute Continuity and Singularity of Spectra for the Flows Tt ? Tat

被引：0

作者：

Ryzhikov, V. V. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2022年 / 56卷 / 03期

关键词：

tensor product of flows; absolutely continuous singular spectrum; dissipativity; weak limits of operators;

D O I：

10.1134/S0016266322030066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given disjoint countable dense subsets C and D of the half-line (1, +infinity), there exists a flow T(t )preserving a sigma-finite measure and such that all automorphisms T-1 circle times T-c with c is an element of C have simple singular spectrum and all automorphisms T-1 circle times T-d with d is an element of D have Lebesgue spectrum of countable multiplicity.

引用

页码：225 / 228

页数：4

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