norm attaining multilinear forms on ๐ฟ1(๐)
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ID: 162108
2008
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Abstract
Given an arbitrary measure ๐, this study shows that the set of norm attaining multilinear
forms is not dense in the space of all continuous multilinear forms on ๐ฟ1(๐). However, we have the density if and only if ๐ is purely atomic. Furthermore, the study presents an example of a
Banach space ๐ in which the set of norm attaining operators from ๐ into ๐โ is dense in the
space of all bounded linear operators ๐ฟ(๐,๐โ). In contrast, the set of norm attaining bilinear
forms on ๐ is not dense in the space of continuous bilinear forms on ๐.
| Reference Key |
saleh2008internationalnorm
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|---|---|
| Authors | ;Yousef Saleh |
| Journal | structural engineering and mechanics |
| Year | 2008 |
| DOI |
10.1155/2008/328481
|
| URL | |
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