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.
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页码：225 / 228
页数：4
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