A universal operator on the Gurarii space

0443126 - MÚ 2016 RIV RO eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GAP201/12/0290
Institucionální podpora: RVO:67985840
Klíčová slova: almost isometry * Gurariî * isometrically universal operator
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.464, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0245882