Extension and splitting theorems for Fréchet spaces of type 2

• Autores: Andreas Defant , Pawel Domanski , Mieczyslaw Mastylo
• Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 12, Nº 2, 1999, págs. 325-337
• Idioma: inglés
• DOI: 10.5209/rev_rema.1999.v12.n2.17111
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• Resumen

  • 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).