ON A BADE TYPE REFLEXIVE ALGEBRA 
Omer Gok 
Supervisor: Safak Alpay
October 1990 , 48 pages
 
           Our main aim is to prove the following theorem. If X is a barrelled locally convex space, and 

the unital algebra homomorphism m from C(K) into L(X) is continuous with respect to the norm 

topology on C(K) and the strong operator toplogy on L(X), then the weak operator topology closure 

of m(C(K)) is a reflexive operator algebra. This generalizes Theorem 7 in [12]. As a consequence of 

this result, it is shown that the weak operator topology closure of the linear span of an equicontinuous 

Boolean algebra B of projections in the quasi-complete barrelled locally convex space X is AlgLat (B)