Israel Journal of Mathematics

, Volume 22, Issue 3, pp 247–256

The isometries ofCp

  • Jonathan Arazy

DOI: 10.1007/BF02761592

Cite this article as:
Arazy, J. Israel J. Math. (1975) 22: 247. doi:10.1007/BF02761592


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).

Copyright information

© Hebrew University 1976

Authors and Affiliations

  • Jonathan Arazy
    • 1
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael