A separable Fréchet space of almost universal disposition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00469673" target="_blank" >RIV/67985840:_____/17:00469673 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.jfa.2016.09.019" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2016.09.019</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jfa.2016.09.019" target="_blank" >10.1016/j.jfa.2016.09.019</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A separable Fréchet space of almost universal disposition

Popis výsledku v původním jazyce

The Gurarii space is the unique separable Banach space. G which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every. ..., for all finite-dimensional normed spaces . ..., for every isometric embedding. e:E...G there exists an . ...-isometric embedding. f:F...G such that. fE=e. We show that . GN with a special sequence of semi-norms is of almost universal disposition for finite-dimensional graded Fréchet spaces. The construction relies heavily on the universal operator on the Gurarii space, recently constructed by Garbulińska-Wegrzyn and the third author. In addition, we consider a non-graded sequence of semi-norms on. GN with which the space. GN is of almost universal disposition for finite-dimensional Fréchet spaces with a fixed sequence of semi-norms. In both cases, this yields in particular that. GN is universal in the class of all separable Fréchet spaces.

Název v anglickém jazyce

A separable Fréchet space of almost universal disposition

Popis výsledku anglicky

The Gurarii space is the unique separable Banach space. G which is of almost universal disposition for finite-dimensional Banach spaces, which means that for every. ..., for all finite-dimensional normed spaces . ..., for every isometric embedding. e:E...G there exists an . ...-isometric embedding. f:F...G such that. fE=e. We show that . GN with a special sequence of semi-norms is of almost universal disposition for finite-dimensional graded Fréchet spaces. The construction relies heavily on the universal operator on the Gurarii space, recently constructed by Garbulińska-Wegrzyn and the third author. In addition, we consider a non-graded sequence of semi-norms on. GN with which the space. GN is of almost universal disposition for finite-dimensional Fréchet spaces with a fixed sequence of semi-norms. In both cases, this yields in particular that. GN is universal in the class of all separable Fréchet spaces.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GF16-34860L" target="_blank" >GF16-34860L: Logika a topologie v Banachových prostorech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Functional Analysis

ISSN

0022-1236

e-ISSN

—

Svazek periodika

272

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

16

Strana od-do

1876-1891

Kód UT WoS článku

000393087600004

EID výsledku v databázi Scopus

2-s2.0-85002235387