Article
| Title: | $L$-limited-like properties on Banach spaces (English) |
| Author: | Ghenciu, Ioana |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 64 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 439-457 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We study weakly precompact sets and operators. We show that an operator is weakly precompact if and only if its adjoint is pseudo weakly compact. We study Banach spaces with the $p$-$L$-limited$^*$ and the $p$-(SR$^*$) properties and characterize these classes of Banach spaces in terms of $p$-$L$-limited$^*$ and $p$-Right$^*$ subsets. The $p$-$L$-limited$^*$ property is studied in some spaces of operators. (English) |
| Keyword: | $p$-Right$^*$ set |
| Keyword: | Right$^*$ set |
| Keyword: | DP $p$-convergent operator |
| Keyword: | weakly precompact operator |
| Keyword: | limited $p$-convergent operator |
| MSC: | 46B20 |
| MSC: | 46B25 |
| MSC: | 46B28 |
| DOI: | 10.14712/1213-7243.2024.013 |
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| Date available: | 2024-11-05T11:47:43Z |
| Last updated: | 2024-11-05 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152625 |
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