Abstract
For an extended locally convex space (elcs) (X,τ), the authors in [9] studied the topology τucb of uniform convergence on bounded subsets of (X,τ). In the present paper, we use the topology τucb to explore the reflexive property of extended locally convex spaces. As a main result, we show that an elcs is (semi) reflexive if and only if any of its open subspaces is (semi) reflexive. For an extended normed space, we show that reflexivity is a three-space property.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
