A comparison of three recent selection theorems

Caterina Maniscalco

Mathematica Bohemica (2007)

  • Volume: 132, Issue: 2, page 177-183
  • ISSN: 0862-7959

Abstract

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We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, with a selection theorem of Schrader based on bounded oscillation and with a selection theorem of Di Piazza-Maniscalco based on bounded 𝒜 , Λ -oscillation.

How to cite

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Maniscalco, Caterina. "A comparison of three recent selection theorems." Mathematica Bohemica 132.2 (2007): 177-183. <http://eudml.org/doc/250260>.

@article{Maniscalco2007,
abstract = {We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, with a selection theorem of Schrader based on bounded oscillation and with a selection theorem of Di Piazza-Maniscalco based on bounded $\{\mathcal \{A\}\},\Lambda $-oscillation.},
author = {Maniscalco, Caterina},
journal = {Mathematica Bohemica},
keywords = {variation; oscillation; modulus of variation; selection theorem; variation; oscillation; modulus of variation; selection theorem},
language = {eng},
number = {2},
pages = {177-183},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A comparison of three recent selection theorems},
url = {http://eudml.org/doc/250260},
volume = {132},
year = {2007},
}

TY - JOUR
AU - Maniscalco, Caterina
TI - A comparison of three recent selection theorems
JO - Mathematica Bohemica
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 132
IS - 2
SP - 177
EP - 183
AB - We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, with a selection theorem of Schrader based on bounded oscillation and with a selection theorem of Di Piazza-Maniscalco based on bounded ${\mathcal {A}},\Lambda $-oscillation.
LA - eng
KW - variation; oscillation; modulus of variation; selection theorem; variation; oscillation; modulus of variation; selection theorem
UR - http://eudml.org/doc/250260
ER -

References

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  4. 10.1016/j.jmaa.2005.02.028, J. Math. Anal. Appl. 310 (2005), 609–625. (2005) MR2022947DOI10.1016/j.jmaa.2005.02.028
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  6. Über linear Funktionaloperationen, Sitzungsber. Naturwiss. Kl. Kaiserlichen Akad. Wiss. Wien 121 (1912), 265–297. (1912) 
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  8. 10.4064/sm-18-1-11-41, Studia Math. 18 (1959), 11–41. (1959) MR0104771DOI10.4064/sm-18-1-11-41
  9. 10.1090/S0002-9904-1972-12923-9, Bull. Amer. Math. Soc. 78 (1972), 415–419. (1972) Zbl0236.40001MR0299740DOI10.1090/S0002-9904-1972-12923-9
  10. 10.4064/sm-57-1-33-45, Studia Math. 57 (1976), 33–45. (1976) Zbl0341.26008MR0417355DOI10.4064/sm-57-1-33-45

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