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Title of Journal: Bull Malays Math Sci Soc

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Abbravation: Bulletin of the Malaysian Mathematical Sciences Society

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Springer Singapore

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DOI

10.1007/bf00481103

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2180-4206

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Multiplication and Composition Operators on Weak

Authors: René Erlin Castillo Fabio Andrés Vallejo Narvaez Julio C Ramos Fernández
Publish Date: 2014/12/10
Volume: 38, Issue: 3, Pages: 927-973
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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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