The isometries ofCp
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- Arazy, J. Israel J. Math. (1975) 22: 247. doi:10.1007/BF02761592
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Theorem.Let 1≦p≦∞,p ≠ 2, and let V be an isometry of Cp onto itself. Then there exist two unitary operators u and w on l2 so that V acts on Cp in one of the following forms:\((i) Vx = u \cdot x \cdot w; (ii) Vx = u \cdot x^T \cdot w\) (where xT is the transpose of x).