Regularity problem for extremal vectors.

Jérôme Verliat

Extracta Mathematicae (2007)

  • Volume: 22, Issue: 1, page 35-43
  • ISSN: 0213-8743

Abstract

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In this paper, we will use results developed by Ansari and Enflo in the theory of bounded linear operators with dense range. We define two maps, with regards to some parameters, that control surjectivity default of a given operator, and prove analycity for the first one and global continuity for the other one. Minimisation results are also obtained in relation to this study.

How to cite

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Verliat, Jérôme. "Regularity problem for extremal vectors.." Extracta Mathematicae 22.1 (2007): 35-43. <http://eudml.org/doc/41868>.

@article{Verliat2007,
abstract = {In this paper, we will use results developed by Ansari and Enflo in the theory of bounded linear operators with dense range. We define two maps, with regards to some parameters, that control surjectivity default of a given operator, and prove analycity for the first one and global continuity for the other one. Minimisation results are also obtained in relation to this study.},
author = {Verliat, Jérôme},
journal = {Extracta Mathematicae},
keywords = {extremal vectors; Enflo technique; dense range},
language = {eng},
number = {1},
pages = {35-43},
title = {Regularity problem for extremal vectors.},
url = {http://eudml.org/doc/41868},
volume = {22},
year = {2007},
}

TY - JOUR
AU - Verliat, Jérôme
TI - Regularity problem for extremal vectors.
JO - Extracta Mathematicae
PY - 2007
VL - 22
IS - 1
SP - 35
EP - 43
AB - In this paper, we will use results developed by Ansari and Enflo in the theory of bounded linear operators with dense range. We define two maps, with regards to some parameters, that control surjectivity default of a given operator, and prove analycity for the first one and global continuity for the other one. Minimisation results are also obtained in relation to this study.
LA - eng
KW - extremal vectors; Enflo technique; dense range
UR - http://eudml.org/doc/41868
ER -

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