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Resumen de Extension and splitting theorems for Fréchet spaces of type 2

Andreas Defant Árbol académico, Pawel Domanski Árbol académico, Mieczyslaw Mastylo Árbol académico

  • We prove the following common generalization of Maurey's extension theorem and Vogt's (DN)-(W) 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 (W).


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