A Nonlinear Approximation of Operator Equation $V^{\ast }QV=Q$ : Nonspectral Decomposition of Nonnormal Operator and Theory of Stability

Sergej A. Choroszavin

$V$ denotes arbitrary bounded bijection on Hilbert space $H$. We try to describe the sets of $V$-stable vectors, i.e. the set of elements $x$ of $H$ such that the sequence $\|V^N x…