Norm-attaining polynomials and differentiability
Studia Mathematica (2002)
- Volume: 151, Issue: 1, page 1-21
- ISSN: 0039-3223
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topJuan Ferrera. "Norm-attaining polynomials and differentiability." Studia Mathematica 151.1 (2002): 1-21. <http://eudml.org/doc/284696>.
@article{JuanFerrera2002,
abstract = {We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Fréchet differentiable. We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.},
author = {Juan Ferrera},
journal = {Studia Mathematica},
keywords = {Banach spaces; polynomials; norm differentiability; Shmul'yans's test; strongly attains its norm; Fréchet differentiability; Gâteaux differentiability},
language = {eng},
number = {1},
pages = {1-21},
title = {Norm-attaining polynomials and differentiability},
url = {http://eudml.org/doc/284696},
volume = {151},
year = {2002},
}
TY - JOUR
AU - Juan Ferrera
TI - Norm-attaining polynomials and differentiability
JO - Studia Mathematica
PY - 2002
VL - 151
IS - 1
SP - 1
EP - 21
AB - We give a polynomial version of Shmul'yan's Test, characterizing the polynomials that strongly attain their norm as those at which the norm is Fréchet differentiable. We also characterize the Gateaux differentiability of the norm. Finally we study those properties for some classical Banach spaces.
LA - eng
KW - Banach spaces; polynomials; norm differentiability; Shmul'yans's test; strongly attains its norm; Fréchet differentiability; Gâteaux differentiability
UR - http://eudml.org/doc/284696
ER -
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