On the extension of positive linear functionals
A necessary and sufficient condition to extend a continuous linear real functionals which is positive with respect to a semi-group defined on a subspace of a linear space is discussed in this paper. The case of a closed subspace of a Banach space is also discussed.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200001721 |
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| _version_ | 1832549420687687680 |
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| author | Ergashboy Muhamadiev Adel T. Diab |
| author_facet | Ergashboy Muhamadiev Adel T. Diab |
| author_sort | Ergashboy Muhamadiev |
| collection | DOAJ |
| description | A necessary and sufficient condition to extend a continuous linear
real functionals which is positive with respect to a semi-group
defined on a subspace of a linear space is discussed in this
paper. The case of a closed subspace of a Banach space is also
discussed. |
| format | Article |
| id | doaj-art-0825945cd0044a07abd189176523ec66 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-0825945cd0044a07abd189176523ec662025-02-03T06:11:14ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01231313510.1155/S0161171200001721On the extension of positive linear functionalsErgashboy Muhamadiev0Adel T. Diab1Mathematical and Informational Department, Khujand's Scienti?c Center, Academy of Sciences, P.O. 3 Box 113, Khujand, TajikistanMathematics Department, Faculty of Science, Ain Shams University, Cairo, EgyptA necessary and sufficient condition to extend a continuous linear real functionals which is positive with respect to a semi-group defined on a subspace of a linear space is discussed in this paper. The case of a closed subspace of a Banach space is also discussed.http://dx.doi.org/10.1155/S0161171200001721Solid semi-groupextension functionalpositive functionalmonotonic Banach functional. |
| spellingShingle | Ergashboy Muhamadiev Adel T. Diab On the extension of positive linear functionals International Journal of Mathematics and Mathematical Sciences Solid semi-group extension functional positive functional monotonic Banach functional. |
| title | On the extension of positive linear functionals |
| title_full | On the extension of positive linear functionals |
| title_fullStr | On the extension of positive linear functionals |
| title_full_unstemmed | On the extension of positive linear functionals |
| title_short | On the extension of positive linear functionals |
| title_sort | on the extension of positive linear functionals |
| topic | Solid semi-group extension functional positive functional monotonic Banach functional. |
| url | http://dx.doi.org/10.1155/S0161171200001721 |
| work_keys_str_mv | AT ergashboymuhamadiev ontheextensionofpositivelinearfunctionals AT adeltdiab ontheextensionofpositivelinearfunctionals |