Integration in partially ordered linear spaces

Ján Šipoš

Mathematica Slovaca (1981)

  • Volume: 31, Issue: 1, page 39-51
  • ISSN: 0232-0525

How to cite

top

Šipoš, Ján. "Integration in partially ordered linear spaces." Mathematica Slovaca 31.1 (1981): 39-51. <http://eudml.org/doc/34100>.

@article{Šipoš1981,
author = {Šipoš, Ján},
journal = {Mathematica Slovaca},
keywords = {strong integrals; functions with values in ordered vector spaces; weak integral of the Pettis type; Daniell procedure; monotone convergence theorems},
language = {eng},
number = {1},
pages = {39-51},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Integration in partially ordered linear spaces},
url = {http://eudml.org/doc/34100},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Šipoš, Ján
TI - Integration in partially ordered linear spaces
JO - Mathematica Slovaca
PY - 1981
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 31
IS - 1
SP - 39
EP - 51
LA - eng
KW - strong integrals; functions with values in ordered vector spaces; weak integral of the Pettis type; Daniell procedure; monotone convergence theorems
UR - http://eudml.org/doc/34100
ER -

References

top
  1. CHOQUET G., Lectures on Analysis, VI, W. A. Benjamin, INC. 1969. (1969) 
  2. FREMLIN D. H., A direct proof of the Mathes-Wright integral extension theorem, J. London M.S., 11, 1975, 276-284. (1975) MR0380345
  3. LUXEMBURG W. A., ZAANEN A. C., Riesz spaces 1, Amsterdam 1971. (1971) 
  4. JAMESON G., Ordered Linear Spaces, Berlin 1970. (1970) Zbl0196.13401MR0438077
  5. POTOCKÝ R., On random variables having values in a vector lattice, Math. Slovaca 27, 1977, 267-276. (1977) Zbl0372.28012MR0536144
  6. RIEČAN B., O prodolženii operatorov s značeniami v linejnich poluuporiadočennych prostranstvách, Čas. Pěst. Mat., 93, 1968, 459-471. (1968) MR0248544
  7. SEMADENI Z., Banach Spaces of Continuous Functions, Warszawa. Zbl0478.46014
  8. SIKORSKI R., Funkcje rzeczywiste, Warszawa, 1958. (1958) Zbl0093.05603MR0105468
  9. VOLAUF P., On extension of maps with values in ordered space, Math. Slov. 30, 1980, 351-361. (1980) MR0595295
  10. VONKOMEROVÁ M., Extension of operators, Math. Slov. 30, 1980, 351-361. (1980) 
  11. WRIGHT J. D. M., The measure extension problem for vector lattices, Ann. Inst. Fourier (Grenoble) 21 Fasc. 4 (1971) 65-85. (1971) Zbl0215.48101MR0330411

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.