Journal of Operator Theory

Volume 73, Issue 1, Winter 2015 pp. 143-158.

A universal operator on the Gurarii space

Authors: Joanna Garbulinska-Wegrzyn (1) and Wieslaw Kubis (2)
Author institution:(1) Institute of Mathematics, Jan Kochanowski University, Kielce, Poland and Faculty of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland
(2) Institute of Mathematics, Academy of Sciences of the Czech Republic, Praha 1, Czech Republic and Institute of Mathematics, Jan Kochanowski University, Kielce, Poland

Summary: We construct a nonexpansive linear operator on the Gurarii space that ``captures'' all nonexpansive linear operators between separable Banach spaces. Some additional properties involving its restrictions to finite-dimensional subspaces describe this operator uniquely up to an isometry

DOI: http://dx.doi.org/10.7900/jot.2013oct09.1999
Keywords: Isometrically universal operator, Gurarii space, almost isometry

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