Superporosity in a class of non-normable spaces
- UNCP Author/Contributor (non-UNCP co-authors, if there are any, appear on document)
- Dr. Laszlo Zsilinszky, Professor (Creator)
- Institution
- The University of North Carolina at Pembroke (UNCP )
- Web Site: http://www.uncp.edu/academics/library
Abstract: The concept of porous set was introduced by Dol?zenko in [D]. Since then ithas been thoroughly investigated and diversely generalized (see [Za1] or [Re] for asurvey). It is possible to define several notions concerning porosity also in metricspaces (see [Za1],[Re]). It is known that in Banach spaces the ideal of meager setsis strictly wider than that of the s-porous sets ([Za1]). It is true also in closednon-locally compact convex subsets of a separable Banach space ([AB]). Recentlyit has been established in dense in itself completely metrizable spaces as well (cf.[Za3]).The primary goal of the research presented in this paper is in the line of theabove results, i.e. to compare s-porous and meager sets, respectively in some nonnormablespaces.
Superporosity in a class of non-normable spaces
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Created on 10/31/2017
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Additional Information
- Publication
- Real Anal Exchange, Vol. 22
- Language: English
- Date: 1996
- Keywords
- Superosity, Banach spaces, Non-Normable spaces