STABILITY Of ISOMETRIES ON HILBERT SPACES
In: Bulletin of the Korean Mathematical Society, Jg. 39 (2002-02-01), S. 141-151
Online
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Zugriff:
Let X and Y be real Banach spaces and †;p ‚ 0. A mapping T between X and Y is called an (†;p)-isometry if jkT(x)i T(y)k i kx i ykj • †kx i yk p for x;y 2 X. Let H be a real Hilbert space and T : H ! H an (†;p)-isometry with T(0) = 0. If p 6 1 is a nonnegative number, then there exists a unique isometry I : H ! H such that kT(x)iI(x)kC(†)(kxk (1+p)=2 +kxk p ) for all x 2 H, where C(†) ! 0 as † ! 0.
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STABILITY Of ISOMETRIES ON HILBERT SPACES
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Autor/in / Beteiligte Person: | Park, Dal-Won ; Jun, Kil-Woung |
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Zeitschrift: | Bulletin of the Korean Mathematical Society, Jg. 39 (2002-02-01), S. 141-151 |
Veröffentlichung: | The Korean Mathematical Society, 2002 |
Medientyp: | unknown |
ISSN: | 1015-8634 (print) |
DOI: | 10.4134/bkms.2002.39.1.141 |
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