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

الموضوعات :

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)

تاريخ الإرسال : 27 الجمعة , ذو القعدة, 1436 تاريخ التأكيد : 16 الأحد , ربيع الأول, 1437 تاريخ الإصدار : 28 الثلاثاء , صفر, 1435

الکلمات المفتاحية: conditional expectation, multipliers, multiplication operators, composition operators,

ملخص المقالة :

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.

المصادر:

[1] C. Burnap, I. L. B. Jung and A. Lambert, Separating partial normality classes with composition operators, J. Operator Theory 53, No. 2 (2005), 381-397.

[2] J. T. Campbell, M. Embry-Wardrop, R. J. Fleming, and S. K. Narayan, Normal and quasinormal weighted composition operators, Glasgow Math. J. 33, No. 3 (1991), 275-279.

[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.