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A strong uniform boundedness principle in Banach spaces
Authors:Olav Nygaard
Institution:Deparment of Mathematics, Agder College, Tordenskjoldsgate 65, 4604 Kristian- sand, Norway
Abstract:We discuss the term ``thick" set. With the help of this term we deduce a strong Uniform Boundedness Principle valid for all Banach spaces. As an application we give a new proof of Seever's theorem.

Keywords:Uniform boundedness principle  Seever's theorem
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