A strong uniform boundedness principle in Banach spaces

Authors
Nygaard, O
Citation
O. Nygaard, A strong uniform boundedness principle in Banach spaces, P AM MATH S, 129(3), 2000, pp. 861-863
Citations number
4
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
3
Year of publication
2000
Pages
861 - 863
Database
ISI
SICI code
0002-9939(2000)129:3<861:ASUBPI>2.0.ZU;2-7
Abstract
We discuss the term "thick" set. With the help of this term we deduce a str ong Uniform Boundedness Principle valid for all Banach spaces. As an applic ation we give a new proof of Seever's theorem.