ABSTRACT

For TVS X and Y, L (X,Y ) denotes space of continuous linear maps from X into Y .

We consider a continuous extension problem and a norm-preserving extension problem:

• The Extension Problem for LCS For what LCS Y can any A ∈ L (M,Y ) defined on any subspace M of any LCS X be extended to A ∈ L (X,Y )? We say that such Y have the extension property.