Generalization of Zippin's theorem on perturbing Banach spaces with separable dual

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F19%3A00333045" target="_blank" >RIV/68407700:21230/19:00333045 - isvavai.cz</a>

Alternative codes found

RIV/67985840:_____/19:00495241

Result on the web

<a href="https://doi.org/10.4064/sm170619-30-11" target="_blank" >https://doi.org/10.4064/sm170619-30-11</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4064/sm170619-30-11" target="_blank" >10.4064/sm170619-30-11</a>

Result language

angličtina

Original language name

Generalization of Zippin's theorem on perturbing Banach spaces with separable dual

Original language description

We generalize a result on Banach spaces with separable dual which was first shown by Zippin, and was explicitly formulated by Benyamini. We prove that there is a class of Asplund spaces, which includes all spaces with separable dual, whose members can be perturbed inside a suitable ambient space to be contained in the space of continuous functions on a well-founded compact tree.

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

2019

Confidentiality

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

Name of the periodical

Studia Mathematica

ISSN

0039-3223

e-ISSN

1730-6337

Volume of the periodical

245

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

15

Pages from-to

169-183

UT code for WoS article

000446981100003

EID of the result in the Scopus database

2-s2.0-85060892080