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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2022 Volume 56, Issue 4, Pages 113–117 (Mi faa4011)

Brief communications

Tensor simple spectrum of unitary flows

V. V. Ryzhikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: 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.

UDC: 517.987

Received: 04.05.2022
Revised: 14.05.2022
Accepted: 21.05.2022

DOI: 10.4213/faa4011


 English version:
Functional Analysis and Its Applications, 2022, 56:4, 327–330

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© Steklov Math. Inst. of RAS, 2024