On σ-porous sets in abstract spaces
The main aim of this survey paper is to give basic information about properties and applications of σ-porous sets in Banach spaces (and some other infinite-dimensional spaces). This paper can be considered a partial continuation of the author's 1987 survey on porosity and σ-porosity and therefo...
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| Format: | Article |
| Language: | English |
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Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.509 |
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| _version_ | 1832565641159114752 |
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| author | L. Zajíček |
| author_facet | L. Zajíček |
| author_sort | L. Zajíček |
| collection | DOAJ |
| description | The main aim of this survey paper is to give basic information about properties and applications of
σ-porous sets in Banach spaces (and some other infinite-dimensional spaces). This paper can be considered a partial continuation of the author's 1987 survey on porosity and σ-porosity and therefore only some results, remarks, and references (important for infinite-dimensional spaces) are repeated. However, this paper can be used without any knowledge of the previous survey. Some new results concerning σ-porosity in finite-dimensional spaces are also briefly mentioned. However, results concerning porosity (but not σ-porosity) are mentioned only exceptionally. |
| format | Article |
| id | doaj-art-40190c1a8d1341c8b3bc581dac8bb72e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-40190c1a8d1341c8b3bc581dac8bb72e2025-02-03T01:07:04ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005550953410.1155/AAA.2005.509On σ-porous sets in abstract spacesL. Zajíček0Department of Mathematical Analysis, CharlesUniversity, Sokolovskà 83, Prague 8 186 75, Czech RepublicThe main aim of this survey paper is to give basic information about properties and applications of σ-porous sets in Banach spaces (and some other infinite-dimensional spaces). This paper can be considered a partial continuation of the author's 1987 survey on porosity and σ-porosity and therefore only some results, remarks, and references (important for infinite-dimensional spaces) are repeated. However, this paper can be used without any knowledge of the previous survey. Some new results concerning σ-porosity in finite-dimensional spaces are also briefly mentioned. However, results concerning porosity (but not σ-porosity) are mentioned only exceptionally.http://dx.doi.org/10.1155/AAA.2005.509 |
| spellingShingle | L. Zajíček On σ-porous sets in abstract spaces Abstract and Applied Analysis |
| title | On σ-porous sets in abstract spaces |
| title_full | On σ-porous sets in abstract spaces |
| title_fullStr | On σ-porous sets in abstract spaces |
| title_full_unstemmed | On σ-porous sets in abstract spaces |
| title_short | On σ-porous sets in abstract spaces |
| title_sort | on σ porous sets in abstract spaces |
| url | http://dx.doi.org/10.1155/AAA.2005.509 |
| work_keys_str_mv | AT lzajicek onsporoussetsinabstractspaces |