Regulated functions
Mathematica Bohemica, Tome 116 (1991) no. 1, pp. 20-59.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

The first section consists of auxiliary results about nondecreasing real functions. In the second section a new characterization of relatively compact sets of regulated functions in the sup-norm topology is brought, and the third section includes, among others, an analogue of Helly's Choice Theorem in the space of regulated functions.
DOI : 10.21136/MB.1991.126195
Classification : 26A45, 27A45, 46E15, 46E99
Keywords: regulated functions; linear prolongation along an increasing function; analogue of Helley's principle of choice theorem; Banach space
@article{10_21136_MB_1991_126195,
     author = {Fra\v{n}kov\'a, Dana},
     title = {Regulated functions},
     journal = {Mathematica Bohemica},
     pages = {20--59},
     publisher = {mathdoc},
     volume = {116},
     number = {1},
     year = {1991},
     doi = {10.21136/MB.1991.126195},
     mrnumber = {1100424},
     zbl = {0724.26009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1991.126195/}
}
TY  - JOUR
AU  - Fraňková, Dana
TI  - Regulated functions
JO  - Mathematica Bohemica
PY  - 1991
SP  - 20
EP  - 59
VL  - 116
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1991.126195/
DO  - 10.21136/MB.1991.126195
LA  - en
ID  - 10_21136_MB_1991_126195
ER  - 
%0 Journal Article
%A Fraňková, Dana
%T Regulated functions
%J Mathematica Bohemica
%D 1991
%P 20-59
%V 116
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1991.126195/
%R 10.21136/MB.1991.126195
%G en
%F 10_21136_MB_1991_126195
Fraňková, Dana. Regulated functions. Mathematica Bohemica, Tome 116 (1991) no. 1, pp. 20-59. doi : 10.21136/MB.1991.126195. http://geodesic.mathdoc.fr/articles/10.21136/MB.1991.126195/

Cité par Sources :