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http://hdl.handle.net/10662/15701
Title: | Topological characterization of weakly compact operators revisited |
Authors: | Peralta, Antonio M. |
Keywords: | Operador dĂ©bilmente compacto;TopologĂa derecha;TopologĂa Mackey;Propiedad (V);Weakly compact operator;Right topology;Mackey topology;Property (V) |
Issue Date: | 2007 |
Publisher: | Universidad de Extremadura, Servicio de Publicaciones |
Abstract: | In this note we revise and survey some recent results established in [8]. We shall show that for each Banach space đ, there exists a locally convex topology for đ, termed the âRight Topologyâ, such that a linear map đ, from đ into a Banach space đ, is weakly compact, precisely when đ is a continuous map from đ, equipped with the âRightâ topology, into đ equipped with the norm topology. We provide here a new and shorter proof of this result. We shall also survey the results concerning sequentially Right-to-norm continuous operators. |
URI: | http://hdl.handle.net/10662/15701 |
ISSN: | 0213-8743 |
Appears in Collections: | Extracta Mathematicae Vol. 22, nÂș 2 (2007) |
Files in This Item:
File | Description | Size | Format | |
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2605-5686_22_2_215.pdf | 159,7 kB | Adobe PDF | View/Open |
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