Authors: René Erlin Castillo Fabio Andrés Vallejo Narvaez Julio C Ramos Fernández
Publish Date: 2014/12/10
Volume: 38, Issue: 3, Pages: 927-973
Abstract
In a selfcontained presentation we discuss the hbox WeakL p spaces Invertible and compact multiplication operators on hbox WeakL p are characterized Boundedness of the composition operator on hbox WeakL p is also characterizedLet x n nin mathbb N be a sequence in Msubseteq X Then x n nin mathbb Nsubseteq X thus there exists a subsequence x n k kin mathbb N of x n nin mathbb N such that Tx n k converges in X but Tx n ksubseteq TM since x n ksubseteq M Then Tx n k converge on overlineTM subseteq overlineM=M
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