Overcomplete sets in non-separable Banach spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00539374" target="_blank" >RIV/67985840:_____/21:00539374 - isvavai.cz</a>

Alternative codes found

RIV/68407700:21230/21:00355088

Result on the web

<a href="https://doi.org/10.1090/proc/15213" target="_blank" >https://doi.org/10.1090/proc/15213</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1090/proc/15213" target="_blank" >10.1090/proc/15213</a>

Result language

angličtina

Original language name

Overcomplete sets in non-separable Banach spaces

Original language description

We introduce and study the notion of overcomplete sets in a Banach space that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We give existence and non-existence results of overcomplete sets for a wide class of (non-separable) Banach spaces and we study to which extent properties of overcomplete sequences are retained by every overcomplete set.

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

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

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

Name of the periodical

Proceedings of the American Mathematical Society

ISSN

0002-9939

e-ISSN

1088-6826

Volume of the periodical

149

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

14

Pages from-to

701-714

UT code for WoS article

000609255600021

EID of the result in the Scopus database

2-s2.0-85100066025