Title:
|
On extension of maps with values in ordered spaces (English) |
Author:
|
Volauf, Peter |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
30 |
Issue:
|
4 |
Year:
|
1980 |
Pages:
|
351-361 |
. |
Category:
|
math |
. |
MSC:
|
06B23 |
MSC:
|
28B05 |
MSC:
|
28B10 |
idZBL:
|
Zbl 0448.28007 |
idMR:
|
MR595295 |
. |
Date available:
|
2009-09-25T09:09:51Z |
Last updated:
|
2012-07-31 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129034 |
. |
Reference:
|
[1] FREMLIN D. H.: A direct proof of the Matthes-Wright integral extension theorem.J. London Math. Soc., 11, 1975, 276-284. Zbl 0313.06016, MR 0380345 |
Reference:
|
[2] JAMESON G.: Ordered Linear Spaces.Berlin 1970. Zbl 0196.13401, MR 0438077 |
Reference:
|
[3] LUXEMBURG W. A., ZAANEN A. C.: Riesz Spaces 1.Amsterdam 1971. |
Reference:
|
[4] POTOCKÝ R.: On random variables having values in a vector lattice.Math. Slovaca, 27, 1977, 267-276. Zbl 0372.28012, MR 0536144 |
Reference:
|
[5] RIEČAN B.: О продолжении операторов со значениями в линейных полуупорядоченных пространствах.Čas. Pěst. Mat., 93, 1968, 459-471. Zbl 0169.16501, MR 0248544 |
Reference:
|
[6] ŠlPOŠ J.: Integration in partially ordered linear spaces.Math. Slovaca to appear. MR 0619506 |
Reference:
|
[7] VOLAUF P.: Extension and regularity of 1-group valued measures.Math. Slovaca, 27, 1977, No. 1., 47-53. MR 0476989 |
Reference:
|
[8] ВУЛИХ Б. З.: Введение в теорию полуупорядоченных пространствах.Mocквa 1961. Zbl 1225.94009 |
Reference:
|
[9] WRIGHT J. D. M.: Stone-algebra-valued measures and integrals.Proc. London Math. Soc., 19, 1969, 107-122. Zbl 0186.46504, MR 0240276 |
Reference:
|
[10] WRIGHT J.D D. M.: The measure extension problem for vector lattices.Ann. Inst. Fourier, 21, Fasc. 4, Grenoble, 1971, 65-85. Zbl 0215.48101, MR 0330411 |
. |