Some algebraic properties of Lambert Multipliers on $L^2$ spaces

Subject Areas : Operator theory

A. Zohri ¹ (Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran)
S. Khalil Sarbaz ² (Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran)

Received: 2015-09-11 Accepted : 2015-12-27 Published : 2013-12-31

Keywords: conditional expectation, multipliers, multiplication operators, composition operators,

Abstract :

In this paper, we determine the structure of the space of multipliers of the rangeof a composition operator $C_\varphi$ that induces by the conditional expectation between two $L^p(\Sigma)$spaces.

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