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Extension and splitting theorems for Fréchet spaces of type 2.

A. DefantP. DomanskiM. Mastylo — 1999

Revista Matemática Complutense

We prove the following common generalization of Maurey's extension theorem and Vogt's (DN)-(Omega) splitting theorem for Fréchet spaces: if T is an operator from a subspace E of a Fréchet space G of type 2 to a Fréchet space F of dual type 2, then T extends to a map from G into F'' whenever G/E satisfies (DN) and F satisfies (Omega).

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