Bessel orbits of normal operators
Given a bounded normal operator A in a Hilbert space and a fixed vector x, we elaborate on the problem of finding necessary and sufficient conditions under which ( A k x ) k ∈ N constitutes a Bessel sequence. We provide a characterization in terms of the measure ‖ E ( ⋅ ) x ‖ 2 , where E is the spec...
|Published in:||Journal of mathematical analysis and applications, Vol. 448, No. 2 (2017), p. 767-785|
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