A characterization of singular endomorphisms of a barrelled Pták space

Damir Franekić
1982 International Journal of Mathematics and Mathematical Sciences  
The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled Pták (fully complete) space and it is shown that each such endomorphism is a topological divisor of zero. Furthermore, properties of the adjoint of an endomorphism are characterized in terms of topological divisors of zero, and the effect of
more » ... the effect of change of operator topology on such a characterization is given.
doi:10.1155/s0161171282000490 fatcat:xrpnfvqenzdpraxqgvv2bvelmy