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)
The University of North Carolina at Pembroke (UNCP )
Web Site:

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.

Additional Information

Real Anal Exchange, Vol. 22
Language: English
Date: 1996
Superosity, Banach spaces, Non-Normable spaces

Email this document to