A universal operator on the Gurarii space

0443126 - MÚ 2016 RIV RO eng J - Journal Article
Garbulińska-Węgrzyn, J. - Kubiś, Wieslaw
A universal operator on the Gurarii space.
Journal of Operator Theory. Roč. 73, č. 1 (2015), s. 143-158. ISSN 0379-4024. E-ISSN 1841-7744
R&D Projects: GA ČR(CZ) GAP201/12/0290
Institutional support: RVO:67985840
Keywords : almost isometry * Gurariî * isometrically universal operator
Subject RIV: BA - General Mathematics
Impact factor: 0.464, year: 2015
http://www.mathjournals.org/jot/2015-073-001/2015-073-001-007.html

We construct a nonexpansive linear operator on the Gurariî 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.
Permanent Link: http://hdl.handle.net/11104/0245882