Tensor simple spectrum of unitary flows
Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 4, pp. 113-117
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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.
Keywords:
unitary flow, weak closure, spectrum, tensor product of operators.
@article{FAA_2022_56_4_a10,
author = {V. V. Ryzhikov},
title = {Tensor simple spectrum of unitary flows},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {113--117},
publisher = {mathdoc},
volume = {56},
number = {4},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2022_56_4_a10/}
}
V. V. Ryzhikov. Tensor simple spectrum of unitary flows. Funkcionalʹnyj analiz i ego priloženiâ, Tome 56 (2022) no. 4, pp. 113-117. http://geodesic.mathdoc.fr/item/FAA_2022_56_4_a10/