Quasi - mackey topology

• Khurana, Surjit Singh ^[1]
  1. [1] University of Iowa

     University of Iowa

     City of Iowa City, Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 26, Nº. 3, 2007, págs. 253-257
• Idioma: inglés
• DOI: 10.4067/S0716-09172007000300003
• Enlaces
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• Resumen

  • Let E1, E2 be Hausdorff locally convex spaces with E2 quasi-complete, and T : E1 → E2 a continuous linear map. Then T maps bounded sets of E1 into relatively weakly compact subsets of E2 if and only if T is continuous with quasi-Mackey topology on E1. If E1 has quasiMackey topology and E2 is quasi-complete, then a sequentially continuous linear map T : E1 → E2 is an unconditionally converging operator.

• Referencias bibliográficas
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