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arXiv · 1007.4692

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

Y. Gordon·M. Junge·M. Meyer·S. Reisner
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Abstract

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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Y. Gordon, M. Junge, M. Meyer, S. Reisner. 2010-07-27. The GL-l.u.st.\ constant and asymmetry of the Kalton-Peck twisted sum in finite dimensions. https://arxiv.org/abs/1007.4692

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