Abstract

An Open Mapping Theorem Application within Zero Accretive Operator

Krishna Kumar Pandey1, Chitaranjan Khadanga2 and Yogesh Kumar Sahu3

1,2,3 Department of Mathematics,
Shri Shankaracharya Technical Campus, Bhilai,490020-INDIA.
*Corresponding author email:krishna14pandey@gmail.com
email: chitakhadanga@gmail.com, yogesh7860000@gmail.com.

ABSTRACT

Here On Considering the application of an Open Mapping Theorem to the solutions of operator equations Let and be Banach Space and in . Suppose for every , the operator equation which has a solution in in . Therefore clearly the mapping is to be considered as surjective. In this paper we have been established the result in which are applied in , with the Norm given by .

Keywords :Banach Space, Cesar summability, Zero and non-zero accretive operator.

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