The isometries of C p

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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: {Mathematical expression} (where xT is the transpose of x).

Original languageEnglish
Pages (from-to)247-256
Number of pages10
JournalIsrael Journal of Mathematics
Issue number3-4
StatePublished - Dec 1975
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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