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Title: Projective descriptions and embedding theorems for φd
Authors: Fernández Castillo, Jesús M.
García Lafuente, José María
Keywords: Representaciones proyectivas;Topología inductiva;Espacios vectoriales de productos;Proyective representations;Inductive topology;Product vector spaces
Issue Date: 2016-07-29
Abstract: We give projective representations of φ which lead to obtain embedding theorems into products of some non locally convex spaces. We introduce infinitely many different topologies on φd intermediate between the box and the inductive topology. We give projective representations for φd carrying those topologies and show that, contrarily to what happens for φ, the results for embedding φd into product spaces are strongly negative.
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