Multipliers between Orlicz sequence space

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

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Abstract

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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