On realcompact topological vector spaces
[EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, including Frechet spaces, (L F)-spaces, and their duals, (D F)-spaces and spaces of...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Recursos: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/75518 |
| Acesso em linha: | https://riunet.upv.es/handle/10251/75518 |
| Access Level: | acceso abierto |
| Palavra-chave: | Angelicity b–Baire-like space Bornological Borel set C*-embedded Class B DF space Distinguished space Frechet-Urysohn k-Space K-Analytic Weakly Lindelof Locally convex space Sigma–quasi-Suslin space Strongly realcompact space Talagrand compact Countable tightness Trans-separable weakly compactly generated space WCG Banach space Web-bounded compact Lindelof Sigma-space Baire-like space MATEMATICA APLICADA |
| Resumo: | [EN] This survey paper collects some of older and quite new concepts and results from descriptive set topology applied to study certain infinite-dimensional topological vector spaces appearing in Functional Analysis, including Frechet spaces, (L F)-spaces, and their duals, (D F)-spaces and spaces of continuous real-valued functions C(X) on a completely regular Hausdorff space X. Especially (L F)-spaces and their duals arise in many fields of Functional Analysis and its applications, for example in Distributions Theory, Differential Equations and Complex Analysis. The concept of a realcompact topological space, although originally introduced and studied in General Topology, has been also studied because of very concrete applications in Linear Functional Analysis. |
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