Local completeness of <i>ℓ</i><sub><i>p</i></sub>(<i>E</i>), 1 ≤ <i>p</i> &lt; <i>∞</i>

Type: Article

Publication Date: 2002-01-01

Citations: 1

DOI: https://doi.org/10.1155/s0161171202109033

Abstract

We study the heredity of local completeness and the strict Mackey convergence property from the locally convex space E to the space of absolutely p ‐summable sequences on E , ℓ p ( E ) for 1 ≤ p &lt; ∞ .

Locations

  • International Journal of Mathematics and Mathematical Sciences - View - PDF
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Works That Cite This (1)

Action Title Year Authors
+ Locally convex spaces not containing $l^1$ 2014 Wolfgang M. Ruess