The isometries of C p

Jonathan Arazy

doi:10.1007/BF02761592

The isometries of C_p

Jonathan Arazy

Research output: Contribution to journal › Article › peer-review

Abstract

Theorem. Let 1≦p≦∞, p ≠ 2, and let V be an isometry of C_p onto itself. Then there exist two unitary operators u and w on l₂ so that V acts on C_p in one of the following forms: {Mathematical expression} (where x^T is the transpose of x).

Original language	English
Pages (from-to)	247-256
Number of pages	10
Journal	Israel Journal of Mathematics
Volume	22
Issue number	3-4
DOIs	https://doi.org/10.1007/BF02761592
State	Published - Dec 1975
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "The isometries of C p",

abstract = "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).",

author = "Jonathan Arazy",

year = "1975",

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pages = "247--256",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

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N2 - 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).

AB - 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).

UR - https://www.scopus.com/pages/publications/51249191801

U2 - 10.1007/BF02761592

DO - 10.1007/BF02761592

M3 - Article

AN - SCOPUS:51249191801

SN - 0021-2172

VL - 22

SP - 247

EP - 256

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 3-4

ER -

The isometries of C_p

Abstract

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