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| Content Provider | Springer Nature Link |
|---|---|
| Author | Sánchez Pérez, Enrique A. |
| Copyright Year | 2015 |
| Abstract | In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise products of Banach function spaces, spaces of integrable functions with respect to vector measures, spaces of operators, multipliers on Banach spaces of analytic functions and spaces of Lipschitz functions. |
| Ending Page | 817 |
| Page Count | 17 |
| Starting Page | 801 |
| File Format | |
| ISSN | 00114642 |
| e-ISSN | 15729141 |
| Journal | Czechoslovak Mathematical Journal |
| Issue Number | 3 |
| Volume Number | 65 |
| Language | English |
| Publisher | Springer Berlin Heidelberg |
| Publisher Date | 2015-10-13 |
| Publisher Place | Berlin, Heidelberg |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Lipschitz map product vector measure multiplication operator Mathematics Hadamard product Norms (inequalities, more than one norm, etc.) Banach space duality Ordinary Differential Equations Spaces of measurable functions ( $L^p$ -spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Banach function space Analysis Convex and Discrete Geometry Duality and reflexivity integration Mathematical Modeling and Industrial Mathematics Spaces of linear operators; topological tensor products; approximation properties |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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