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RESEARCH PRODUCT

On weighted inductive limits of spaces of Fréchet-valued continuous functions

Antonio Galbis

subject

Pure mathematicsFunctorHullBounded functionMathematical analysisGeneral MedicineProjective testContinuous linear operatorMathematics

description

AbstractIn this article we continue the study of weighted inductive limits of spaces of Fréchet-valued continuous functions, concentrating on the problem of projective descriptions and the barrelledness of the corresponding “projective hull”. Our study is related to the work of Vogt on the study of pairs (E, F) of Fréchet spaces such that every continuous linear mapping from E into F is bounded and on the study of the functor Ext1 (E, F) for pairs (E, F) of Fréchet spaces.

https://doi.org/10.1017/s1446788700032717