Some remarks on smooth renormings of Banach spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00476945" target="_blank" >RIV/67985840:_____/17:00476945 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/17:00313689

Result on the web

<a href="http://dx.doi.org/10.1016/j.jmaa.2017.05.077" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2017.05.077</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2017.05.077" target="_blank" >10.1016/j.jmaa.2017.05.077</a>

Result language

angličtina

Original language name

Some remarks on smooth renormings of Banach spaces

Original language description

We prove that in every separable Banach space X with a Schauder basis and a Ck-smooth norm it is possible to approximate, uniformly on bounded sets, every equivalent norm with a Ck-smooth one in a way that the approximation is improving as fast as we wish on the elements depending only on the tail of the Schauder basis. Our result solves a problem from the recent monograph of Guirao, Montesinos and Zizler.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA16-07378S" target="_blank" >GA16-07378S: Nonlinear analysis in Banach spaces</a><br>

Continuities

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

Publication year

2017

Confidentiality

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

Name of the periodical

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

—

Volume of the periodical

455

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

13

Pages from-to

1272-1284

UT code for WoS article

000406568800024

EID of the result in the Scopus database

2-s2.0-85021216070