A note on universal operators between separable Banach spaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00525265" target="_blank" >RIV/67985840:_____/20:00525265 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-020-00878-4" target="_blank" >https://doi.org/10.1007/s13398-020-00878-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-020-00878-4" target="_blank" >10.1007/s13398-020-00878-4</a>
Alternative languages
Result language
angličtina
Original language name
A note on universal operators between separable Banach spaces
Original language description
We compare two types of universal operators constructed relatively recently by Cabello Sánchez, and the authors. The first operator Ω acts on the Gurariĭ space, while the second one PS has values in a fixed separable Banach space S. We show that if S is the Gurariĭ space, then both operators are isometric. We also prove that, for a fixed space S, the operator PS is isometrically unique. Finally, we show that Ω is generic in the sense of a natural infinite game.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales
ISSN
1578-7303
e-ISSN
—
Volume of the periodical
114
Issue of the periodical within the volume
3
Country of publishing house
ES - SPAIN
Number of pages
11
Pages from-to
148
UT code for WoS article
000542074600001
EID of the result in the Scopus database
2-s2.0-85086015411