Lambert Multipliers Between L^P-spaces as a Banach Algebra

2016/09/20 by Jahangir Cheshmavar, Cheshmavar, Jahangir, Seyed Kamel Hosseini +1
Mathematics · #46J10 (Primary) #47B20 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:46J10 #msc:47B20

paper · pdf · doi:10.48550/arxiv.1609.06075

There are a lot of typos and errors in the propositions and theorems

arxiv created 2020/05/23 · arxiv updated 2020/05/26

Abstract

For 1 ≤ p < ∞, it is known that the set K^*_p contains of all Lambert multipliers acting between L^p-spaces is a Banach space. In this study, we introduce a new induced norm by conditional expectation operators to show that K^*_p is a commutative Banach algebra with respect to this norm. Furthermore, in main result, the Fredholm *-multiplication operators on L^p-spaces are characterized, and some more results are obtained.

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