Some properties of $A$-entropy

B. S. Pitskel'

M. V. Lomonosov Moscow State University

Abstract: The connection of $A$-entropy $h_A(T)$ with the spectrum $T$ of a dynamical system is considered. It is found that $\sup\limits_{\{a\}}h_A(T)$ assumes the value $\infty$ or the $\log k$ value where $k$ is a natural number.

UDC: 517.9

Received: 14.05.1968

 English version: Mathematical Notes, 1969, 5:3, 199–203

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