%0 Journal Article
%T A note on mutiplication operators on K the-Bochner spaces
%A S. S. Khurana
%J ACTA MATHEMATICA 
UNIVERSITATIS COMENIANAE
%D 2012
%I Acta Mathematica Universitatis Comenianae
%X Let (¦¸, A, ¦Ì) is a finite measure space, E an order continuous Banach function space over ¦Ì, X a Banach space and E(X) the K the-Bochner space. A new simple proof is given of the result that a continuous linear operator T E(X)   E(X) is a multiplication operator (by a function in L£¤) iff T(g f, x* > x) =g T(f), x* > x for every g   L£¤, f   E(X), x   X, x*   X*.
%K Multiplication operator
%K K the function spaces
%K K the-Bochner function spaces.
%U http://www.emis.de/journals/AMUC/_vol-81/_no_1/_khurana_surjit/khurana_surjit.html