✦ LIBER ✦

Finitary sequence spaces

✍ Scribed by Mark Mandelkern

Publisher: John Wiley and Sons
Year: 1993
Tongue: English
Weight: 870 KB
Volume: 39
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19930390145

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✦ Synopsis

Abstract

This paper studies the metric structure of the space H~r~ of absolutely summable sequences of real numbers with at most r nonzero terms. H~r~ is complete, and is located and nowhere dense in the space of all absolutely summable sequences. Totally bounded and compact subspaces of H~r~ are characterized, and large classes of located, totally bounded, compact, and locally compact subspaces are constructed. The methods used are constructive in the strict sense. MSC: 03F65, 54E50.

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