Properties of Multiplication Operators on Köthe spaces

2014/11/04 by René Erlin Castillo, Castillo, René Erlin, Julio C. Ramos Fernández +3
Mathematics · #46B42 #FOS: Mathematics #Functional Analysis (math.FA) #Primary 47B38 #Secondary 46E30 #math.FA #msc:46B42 #msc:46E30 #msc:47B38

paper · pdf · doi:10.48550/arxiv.1411.1018

This paper has been withdrawn by the authors because need a deeper revision

arxiv created 2016/03/21 · arxiv updated 2016/03/23

Abstract

We make an exhaustive study of the properties of multiplication operator M_u acting on Köthe spaces. We characterize the multiplication operators, acting on Köthe spaces, which are: bounded, injective, onto, bijective, Fredholm, compact, with closed range and with range finite. We also study the spectrum, the n-power and calculate the essential norm of M_u and we study the algebra of multiplication operators.

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