SOME RESULTS ON SEMI-REFLEXIVITY AND REFLEXIVITY IN LOCALLY CONVEX SPACES
Abstract
In this paper we discuss that if E[] is a barreled space such that every bounded subset of E is relatively compact, then E[] is reflexive, and that a barreled space E[τ] in which there is a denumerable system of convex compact subsets is reflexive. We also discuss Some hereditary-type properties of reflexive locally convex spaces.
Keywords: Bornological space, barreled, hereditarily-reflexive, M-space, quasi-complete, reflexive, strong dual.
AMS (2010) Mathematics Subject Classification: 46A25.
![Download the IISTE publication guideline!](https://www.iiste.org/sub/iiste_footer_journal.jpg)
To list your conference here. Please contact the administrator of this platform.
Paper submission email: MTM@iiste.org
ISSN (Paper)2224-5804 ISSN (Online)2225-0522
Please add our address "contact@iiste.org" into your email contact list.
This journal follows ISO 9001 management standard and licensed under a Creative Commons Attribution 3.0 License.
Copyright © www.iiste.org