On superpositionally measurable semi-Carathéodory multifunctions

Wojciech Zygmunt

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 1, page 73-77
  • ISSN: 0010-2628

Abstract

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For multifunctions F : T × X → 2 Y , measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.

How to cite

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Zygmunt, Wojciech. "On superpositionally measurable semi-Carathéodory multifunctions." Commentationes Mathematicae Universitatis Carolinae 33.1 (1992): 73-77. <http://eudml.org/doc/247374>.

@article{Zygmunt1992,
abstract = {For multifunctions $F:T\times X\rightarrow 2^Y$, measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.},
author = {Zygmunt, Wojciech},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {multifunctions; semi-Carathéodory multifunctions; product measurable; superpositionally measurable; multifunction measurable in the first and semicontinuous in the second variable; product measurable multifunction; superpositionally measurable},
language = {eng},
number = {1},
pages = {73-77},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On superpositionally measurable semi-Carathéodory multifunctions},
url = {http://eudml.org/doc/247374},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Zygmunt, Wojciech
TI - On superpositionally measurable semi-Carathéodory multifunctions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 1
SP - 73
EP - 77
AB - For multifunctions $F:T\times X\rightarrow 2^Y$, measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.
LA - eng
KW - multifunctions; semi-Carathéodory multifunctions; product measurable; superpositionally measurable; multifunction measurable in the first and semicontinuous in the second variable; product measurable multifunction; superpositionally measurable
UR - http://eudml.org/doc/247374
ER -

References

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  10. Sainte-Beuve M.F., On the extension of von Neumann-Aumann's theorem, J. Funct. Anal. 17 (1974), 112-129. (1974) Zbl0286.28005MR0374364
  11. Spakowski A., On superpositionally measurable multifunctions, Acta Univ. Carol., Math. Phys., No. 2, 30 (1989), 149-151. (1989) Zbl0705.28003MR1046461
  12. Tsalyuk V.Z., On superpositionally measurable multifunctions (in Russian), Mat. Zametki 43 (1988), 98-102. (1988) 
  13. Wagner D.H., Survey of measurable selection theorems, SIAM J. Control Optim. 15 (1977), 859-903. (1977) Zbl0407.28006MR0486391
  14. Zygmunt W., The Scorza-Dragoni's type property and product measurability of a multifunction of two variables, Rend. Acad. Naz. Sci., XL. Mem. Mat. 12 (1988), 109-115. (1988) Zbl0677.28004MR0985060

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