Infinite Dimensional Banach Space of Besicovitch Functions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F07%3A00139626" target="_blank" >RIV/68407700:21110/07:00139626 - isvavai.cz</a>

Result on the web

—

DOI - Digital Object Identifier

—

Result language

angličtina

Original language name

Infinite Dimensional Banach Space of Besicovitch Functions

Original language description

Let C([0,1]) be the set of all continuous functions mapping the unit interval [0,1] into R. A function f from C([0,1]) is called Besicovitch if it has nowhere one-sided derivative (finite of infinite). We construct a subset B of C([0,1]) such that B is an infinite dimensional Banach (sub)space in C([0,1]) and each nonzero element of B is a Besicovitch function.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

—

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Real Analysis Exchange

ISSN

0147-1937

e-ISSN

—

Volume of the periodical

32

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

—

UT code for WoS article

—

EID of the result in the Scopus database

—