Principal Functions for High Powers of Operators
2006
For an operator T with some trace class condition, let gT n and g P T n be the principal functions related to the Cartesian decomposition T n = Xn + iYn and the polar decomposition T n = Un|T n | for a positive integer n, respectively. In this paper, we study properties of gT n and g P n and invariant subspaces of T n .
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