Multipliers between Orlicz sequence space

Naik, S (2014) Multipliers between Orlicz sequence space. MSc thesis.



Let $ M,N $ be Orlicz functions and let $ D(l_M,l_N) $ be the space of all diagonal operators (that is multipliers) acting between the Orlicz sequence spaces $ l_M $ and $ l_N $. We prove that the space of multipliers $ D(l_M,l_N) $ coincides with (and is isommorphic to) the Orlicz sequence space $ l_{M_{N}^*} $, where $ M_{N}^* $ is the Orlicz function defined by $ M_N^*( \lambda )=\text{sup} \lbrace N( \lambda x)-M(x),x\in(0,1) \rbrace $ .

Item Type:Thesis ( MSc)
Uncontrolled Keywords:Compact multiplier, Linear operator, Multipliers, Orlicz function, Orlicz sequence space, $ \vartriangle_2 $-condition.
Subjects:Mathematics and Statistics > Applied Mathematics
Divisions: Sciences > Department of Mathematics
ID Code:6292
Deposited By:Hemanta Biswal
Deposited On:09 Sep 2014 10:39
Last Modified:09 Sep 2014 10:39
Supervisor(s):Pradhan, S

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