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Faces and Renormings of ℓ1
by
Zarauz-Moreno, Antonio
, Navarro-Pascual, Juan Carlos
in
Banach spaces
/ convex set
/ equivalent renorming of a Banach space
/ face of a convex set
/ Mathematics
/ Norms
/ Vector space
2023
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Faces and Renormings of ℓ1
by
Zarauz-Moreno, Antonio
, Navarro-Pascual, Juan Carlos
in
Banach spaces
/ convex set
/ equivalent renorming of a Banach space
/ face of a convex set
/ Mathematics
/ Norms
/ Vector space
2023
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Journal Article
Faces and Renormings of ℓ1
2023
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Overview
The faces of the unit ball of a finite-dimensional Banach space are automatically closed. The situation is different in the infinite-dimensional case. In fact, under this last condition, the closure of a face may not be a face. In this paper, we discuss these issues in an expository style. In order to illustrate the described situation we consider an equivalent renorming of the Banach space ℓ1.
Publisher
MDPI AG
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