Displaying similar documents to “Existence and approximation Theorems on a Weakly 1-Complete Analytic Space.”

On sequences not enjoying Schur’s property

Pablo Jiménez-Rodríguez (2017)

Open Mathematics

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Here we proved the existence of a closed vector space of sequences - any nonzero element of which does not comply with Schur’s property, that is, it is weakly convergent but not norm convergent. This allows us to find similar algebraic structures in some subsets of functions.