Abstract:
This paper contains a study of the structure of the Fréchet space L p −, 1< p ≤∞, defined as the intersection of L q [0,1] for q<p, and endowed with the projective topology. The main topics covered are: normable, Schwartz and nuclear subspaces of L p −; construction of uncomplemented copies of ?2 inside L p − for p<2; construction of Montel non-Schwartz subspaces; the space L p − is primary.
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Received: 30 October 1996 / Revised version: 1 February 1998
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Castillo, J., Díaz, J. & Motos, J. On the Fréchet space L p − . manuscripta math. 96, 219–230 (1998). https://doi.org/10.1007/s002290050063
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DOI: https://doi.org/10.1007/s002290050063