Abstract
It is proved that if X is innite-dimension al, then there exists an innite- dimensional space of X-valued measures which have innite variation on sets of positive Lebesgue measure. In term of spaceability, it is also shown that ca(B;;X ) n M , the measures with non- -nite variation, contains a closed subspace. Other considerations concern the space of vector measures whose range is neither closed nor convex. All of those results extend in some sense theorems of Mu~ noz Fern andez et al. (Linear Algebra Appl. 428 (2008)).
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.
