Yan Shaozong,Chen Xiaoman,Zhang Jianguo.ISOMETRIC OPERATORS ON П_K SPACES[J].Chinese Annals of Mathematics B,1993,14(4):397~410
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Authors：
Yan Shaozong; Chen Xiaoman;Zhang Jianguo
Abstract：
The authors obtain all generalized triangle models of U-dilation of an isometric operator on П_K and prove that an isometric operator on Hr has Wold decomposition and the unilateral parts of generalized Wold decomposition for an isometric operator on П_K are uniquely determined up to unitary equivalence. Then a necessary and sufficient condition is got under which an isometric operator on IIк has a regular Wold decomposition.
