Renormalizations of Banach and locally convex algebras
Antonio Fernández, Vladimír Müller (1990)
Studia Mathematica
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Antonio Fernández, Vladimír Müller (1990)
Studia Mathematica
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Bosch, Carlos, Kučera, Jan, McKennon, Kelly (1986)
International Journal of Mathematics and Mathematical Sciences
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Murali, V. (1991)
International Journal of Mathematics and Mathematical Sciences
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A. V. Ferreira, G. Tomassini (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Choi, Yun Sung (1988)
Portugaliae mathematica
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Susanne Dierolf (1980)
Collectanea Mathematica
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Jerzy Kakol (1990)
Collectanea Mathematica
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Let R be a subcategory of the category of all topological vector spaces. Let E be an element of R. The problem of the existence of the finest R-topology on E with the same continuous linear functionals as the original one is discussed. Remarks concerning the Hahn-Banach Extension Property are included.
L. Oubbi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We deal with the representation of locally convex algebras. On one hand as subalgebras of some weighted space CV(X) and on the other hand, in the case of uniformly A-convex algebras, as inductive limits of Banach algebras. We also study some questions on the spectrum of a locally convex algebra.
A. Kokk, W. Żelazko (1995)
Studia Mathematica
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Let X be a real or complex vector space. We show that the maximal p-convex topology makes X a complete Hausdorff topological vector space. If X has an uncountable dimension, then different p give different topologies. However, if the dimension of X is at most countable, then all these topologies coincide. This leads to an example of a complete locally pseudoconvex space X that is not locally convex, but all of whose separable subspaces are locally convex. We apply these results to topological...
Gilsdorf, Thomas E. (1989)
International Journal of Mathematics and Mathematical Sciences
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