On decomposition method and PN-spaces

الملخص EN

Vogt decomposition method is one of the main tools to show whether a certain nuclear Frèchet space is isomorphic to a stable power series space of infinite type.

Terzioglu generalized the Vogt decomposition method.

Tallafha defined what he called a PN-space and he proved the Terzioglu’s result on PN-space.

Later on Shatanawi gave a new modification for Terzioglu result.

In this paper we shall generalize Tallafha and Shatanawi’s results.