Some algebraic properties of Lambert Multipliers on $L^2$ spaces
محورهای موضوعی :
Operator theory
A. Zohri
1
,
S. Khalil Sarbaz
2
1 - Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
2 - Faculty of Mathematical Sciences, Payame Noor University, P. O. BOX 19395-3697, Tehran, I. R. Iran
تاریخ دریافت : 1394/06/20
تاریخ پذیرش : 1394/10/06
تاریخ انتشار : 1392/10/10
کلید واژه:
conditional expectation,
multipliers,
multiplication operators,
composition operators,
چکیده مقاله :
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.
منابع و مأخذ:
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[3] J. D. Herron, Weighted conditional expectation operators on Lp-spaces, UNC Charlotte Doctoral Dissertation.
[4] M. R. Jabbarzadeh and S. Khalil Sarbaz, Lambert multipliers between Lp-spaces, Czech. Math. J. 60 (135), No. 1 (2010), 31-43.
[5] A. Lambert, Hyponormal composition operators, Bull. London Math. Soc. 18, No. 4 (1986), 395-400.
[6] A. Lambert and T. G. Lucas, Nagatas principle of idealization in relation to module homomorphisms and conditional expectations, Kyungpook Math. J. 40, No. 2 (2000), 327-337.
