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Continuous linear operators on Orlicz-Bochner spaces
| Content Provider | Scilit |
|---|---|
| Author | Nowak, Marian |
| Copyright Year | 2019 |
| Abstract | Let (Ω, Σ, μ) be a complete σ-finite measure space, φ a Young function and X and Y be Banach spaces. Let Lφ(X) denote the corresponding Orlicz-Bochner space and $\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ denote the finest Lebesgue topology on Lφ(X). We examine different classes of ( $\begin{array}{} \displaystyle \mathcal T^\wedge_\varphi \end{array}$ , ∥ ⋅ ∥Y)-continuous linear operators T : Lφ(X) → Y: weakly compact operators, order-weakly compact operators, weakly completely continuous operators, completely continuous operators and compact operators. The relationships among these classes of operators are established. |
| Related Links | http://www.degruyter.com/downloadpdf/j/math.2019.17.issue-1/math-2019-0089/math-2019-0089.xml |
| Ending Page | 1155 |
| Page Count | 9 |
| Starting Page | 1147 |
| ISSN | 23915455 |
| DOI | 10.1515/math-2019-0089 |
| Journal | Open Mathematics |
| Issue Number | 1 |
| Volume Number | 17 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2019-10-13 |
| Access Restriction | Open |
| Subject Keyword | Open Mathematics Mathematical Physics Orlicz-bochner Spaces Lebesgue Topologies Weakly Compact Operators Compact Operators Weakly Completely Continuous Operators Completely Continuous Operators Journal: Open Mathematics, Vol- 17, Issue- 1 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
