caa a22 4500 475740874 CHVBK 20180406123459.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026621019011 doi (NATIONALLICENCE)springer-10.1023/A:1026621019011 Cheban D. Moldovan State University, Kishinev aut An Analog of the Cameron--Johnson Theorem for Linear ℂ-Analytic Equations in Hilbert Space [Elektronische Daten] [D. Cheban] The well-known Cameron--Johnson theorem asserts that the equation $$\dot x = \mathcal{A}\left( t \right)x$$ with a recurrent (Bohr almost periodic) matrix $$\mathcal{A}\left( t \right)$$ can be reduced by a Lyapunov transformation to the equation $$\dot y = \mathcal{B}\left( t \right)y$$ with a skew-symmetric matrix $$\mathcal{B}\left( t \right)$$ , provided that all solutions of the equation $$\dot x = \mathcal{A}\left( t \right)x$$ and of all its limit equations are bounded on the whole line. In the note, a generalization of this result to linear $$\mathbb{C}$$ -analytic equations in a Hilbert space is presented. Plenum Publishing Corporation, 2000 Cameron--Johnson theorem nationallicence Hilbert space nationallicence linear $$\mathbb{C}$$-analytic differential equation nationallicence dynamical system nationallicence Lyapunov transformation nationallicence Bohr almost periodic matrix nationallicence Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 790-793 0001-4346 68:5-6<790 2000 68 11006 https://doi.org/10.1023/A:1026621019011 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026621019011 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cheban D. Moldovan State University, Kishinev aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 68/5-6(2000-11-01), 790-793 0001-4346 68:5-6<790 2000 68 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer