What is "local theory of Banach spaces"?
Pietsch, Albrecht
Studia Mathematica, Tome 133 (1999), p. 273-298 / Harvested from The Polish Digital Mathematics Library
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Banach space theory splits into several subtheories. On the one hand, there are an isometric and an isomorphic part; on the other hand, we speak of global and local aspects. While the concepts of isometry and isomorphy are clear, everybody seems to have its own interpretation of what "local theory" means. In this essay we analyze this situation and propose rigorous definitions, which are based on new concepts of local representability of operators.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216655 
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Pietsch, Albrecht. What is "local theory of Banach spaces"?. Studia Mathematica, Tome 133 (1999) pp. 273-298. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv135i3p273bwm/

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