The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)
Antonio J. Guirao; Olena Kozhushkina
Studia Mathematica (2013)
- Volume: 218, Issue: 1, page 41-54
- ISSN: 0039-3223
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topAntonio J. Guirao, and Olena Kozhushkina. "The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)." Studia Mathematica 218.1 (2013): 41-54. <http://eudml.org/doc/285747>.
@article{AntonioJ2013,
abstract = {We show that the set of bounded linear operators from X to X admits a Bishop-Phelps-Bollobás type theorem for numerical radius whenever X is ℓ₁(ℂ) or c₀(ℂ). As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollobás theorem for ℓ₁(ℂ).},
author = {Antonio J. Guirao, Olena Kozhushkina},
journal = {Studia Mathematica},
keywords = {norm attaining; Bishop-Phelps-Bollobás theorem; numerical radius attaining operators},
language = {eng},
number = {1},
pages = {41-54},
title = {The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)},
url = {http://eudml.org/doc/285747},
volume = {218},
year = {2013},
}
TY - JOUR
AU - Antonio J. Guirao
AU - Olena Kozhushkina
TI - The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)
JO - Studia Mathematica
PY - 2013
VL - 218
IS - 1
SP - 41
EP - 54
AB - We show that the set of bounded linear operators from X to X admits a Bishop-Phelps-Bollobás type theorem for numerical radius whenever X is ℓ₁(ℂ) or c₀(ℂ). As an essential tool we provide two constructive versions of the classical Bishop-Phelps-Bollobás theorem for ℓ₁(ℂ).
LA - eng
KW - norm attaining; Bishop-Phelps-Bollobás theorem; numerical radius attaining operators
UR - http://eudml.org/doc/285747
ER -
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