Relationship Between Weight Function and 1 – Norm

M Melna Frincy, J RobertVictor Edward


The  function on a subset  of  is the function defined by

For  , we define  .

The Hamming weight   of  is the number of non – zero coordinates of , where  From this one could see that  , where  is the 1 – norm of  given by where  . This gives a relationship between the weight function and the 1 – norm.

In this paper we establish certain properties of the weight function using the properties of norms.


mininorm ,mininormed space,1-norm, weight function.

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