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Volume :8 Issue : 1 1981
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Pointwise multipliers
Auther : ROSHDI KHALIL
Department of Mathematics, University of Kuwait
ABSTRACT
Consider the space 12@12@12. A function 4 defined on N x N x N is said to be a multiplier of 12@12@12 if 4-i+kl2@l2@l2 for all I / I E I ~ @ I ~ @ IH~ e. rem (4.i+k)(i,j,k)=4(i,j,k).$(i,,j,kT)h. e objective of this paper is to characterise the space of multipliers of 12@12@12. We prove that the required space of multipliers is isomorphic to P(N,N,N) = ( l l G 1 @ l ) * .