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Topics in Functional Analysis over Valued Division Rings (Mathematics Studies)
Topics in Functional Analysis over Valued Division Rings (Mathematics Studies)
Date: 21 June 2011, 01:36

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In this volume we are interested mainly with topological vector spaces (over valued division rings) and with some other algebraic structures equipped with suitable topologies making the algebraic operations continuous mappings. In the applications of the general theory, the algebraic structures (vector spaces,
algebras and rings) considered are sets of functions defined on a topological space X and having values either in a valued division ring (F,|•|), or in a topological vector space, algebra or ring (E,x). This set of functions receives the algebraic structure given by pointwise operations and, most of the time, the topology of compact convergence.

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