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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Hindawi Limited
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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doaj-40190c1a8d1341c8b3bc581dac8bb72e2020-11-25T00:12:30ZengHindawi LimitedAbstract 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
L. Zajíček |
| spellingShingle |
L. Zajíček On σ-porous sets in abstract spaces Abstract and Applied Analysis |
| author_facet |
L. Zajíček |
| author_sort |
L. Zajíček |
| title |
On σ-porous sets in abstract spaces |
| title_short |
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_sort |
on σ-porous sets in abstract spaces |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2005-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/AAA.2005.509 |
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AT lzajicek onsporoussetsinabstractspaces |
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