arXiv:1306.4843 Abstract | arXiv Analytics

arXiv:1306.4843 [math.FA]Abstract References Reviews Resources

Metric and topological freedom for operator sequence spaces

Published 2013-06-20, updated 2015-02-21Version 2

In this paper we give description of free and cofree objects in the category of operator sequence spaces. First we show that this category possess the same duality theory as category of normed spaces, then with the aid of these results we give complete description of metrically and topologically free and cofree objects.

Comments: 45 pages

Categories: math.FA

Subjects: 47L25, 46L07, 46A20

Keywords: duality theory, sequential operator spaces holds, quotient maps, coercivity constatnt, inclusion maps

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