Infinite Dimensional Banach Space of Besicovitch Functions
Result 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.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
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
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Real Analysis Exchange
ISSN
0147-1937
e-ISSN
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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
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UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2007