SOME CONSEQUENCES OF THE EXISTENCE OF AN UNBOUNDED 
OPERATOR BETWEEN FRECHET SPACES 

Murat Yurdakul

Supervisor:Tosun Terzioglu
November 1984, 26 Pages
Abstract: In this work, kr ,kd classes of locally convex spaces are introduced and some of  their properties 

are proved.The main result asserts that if there is a continuous, linear and unbounded  map T between two 

Fréchet spaces X,Y with continuous norms then there exist basic sequences (zn),(Tzn) in X and Y 

respectively such that  are nuclear Köthe spaces and the restriction of  T  to  is 

a natural isomorphism.