The GL-l.u.st.\ constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions

Details The GL-l.u.st.\ constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions The GL-l.u.st.\ constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions

2010-07-27

arxiv.org/abs/1007.4692v1

Mathematics

Functional Analysis

Scientific paper

We prove that the Kalton-Peck twisted sum $Z_2^n$ of $n$-dimensional Hilbert
spaces has GL-l.u.st.\ constant of order $\log n$ and bounded GL constant. This
is the first concrete example which shows different explicit orders of growth
in the GL and GL-l.u.st.\ constants. We discuss also the asymmetry constants of
$Z_2^n$.

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