Weakly compactly generated Frechet spaces
It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000557 |
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| _version_ | 1832552762104086528 |
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| author | Surjit Singh Khurana |
| author_facet | Surjit Singh Khurana |
| author_sort | Surjit Singh Khurana |
| collection | DOAJ |
| description | It is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function. |
| format | Article |
| id | doaj-art-31e58adc905341b781395600f50f115c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-31e58adc905341b781395600f50f115c2025-02-03T05:57:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012472172410.1155/S0161171279000557Weakly compactly generated Frechet spacesSurjit Singh Khurana0Department of Mathematics, The University of Iowa, Iowa City 52242, Iowa, USAIt is proved that a weakly compact generated Frechet space is Lindelöf in the weak topology. As a corollary it is proved that for a finite measure space every weakly measurable function into a weakly compactly generated Frechet space is weakly equivalent to a strongly measurable function.http://dx.doi.org/10.1155/S0161171279000557Lindelöf spacesweakly measurable functionsstrongly measurable functionsuniversally measurable functionsFrechet spacesweakly compact sets. |
| spellingShingle | Surjit Singh Khurana Weakly compactly generated Frechet spaces International Journal of Mathematics and Mathematical Sciences Lindelöf spaces weakly measurable functions strongly measurable functions universally measurable functions Frechet spaces weakly compact sets. |
| title | Weakly compactly generated Frechet spaces |
| title_full | Weakly compactly generated Frechet spaces |
| title_fullStr | Weakly compactly generated Frechet spaces |
| title_full_unstemmed | Weakly compactly generated Frechet spaces |
| title_short | Weakly compactly generated Frechet spaces |
| title_sort | weakly compactly generated frechet spaces |
| topic | Lindelöf spaces weakly measurable functions strongly measurable functions universally measurable functions Frechet spaces weakly compact sets. |
| url | http://dx.doi.org/10.1155/S0161171279000557 |
| work_keys_str_mv | AT surjitsinghkhurana weaklycompactlygeneratedfrechetspaces |