Abstract
For an operator $T$ with some trace class condition, let $g_{T^n}$ and $g_{{T^n}}^P$ be the principal functions related to the Cartesian decomposition $T^n=X_n+iY_n$ and the polar decomposition $T^n = U_n|T^n|$ for a positive integer $n$, respectively. In this paper, we study properties of $g_{T^n}$ and $g_{T^n}^P$ and invariant subspaces of $T^n.$
Citation
Muneo Chō. Tadasi Huruya. An Hyun Kim. Chunji Li. "Principal Functions for High Powers of Operators." Tokyo J. Math. 29 (1) 111 - 116, June 2006. https://doi.org/10.3836/tjm/1166661870
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