Geodesic
The Bishop–Phelps–Bollobás property for numerical radius in $\ell _{1}(\mathbb {C})$
Antonio J. Guirao1 ; Olena Kozhushkina2
1 IUMPA Universidad Politécnica de Valencia 46022 Valencia, Spain
2 Department of Mathematical Sciences Kent State University Kent, OH 44242, U.S.A.
Studia Mathematica, Tome 218 (2013) no. 1, pp. 41-54

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\ell _1(\mathbb {C})$ or $c_0(\mathbb {C})$. As an essential tool we provide two constructive versions of the classical Bishop–Phelps–Bollobás theorem for $\ell _1(\mathbb {C})$.
DOI : 10.4064/sm218-1-3
Keywords: set bounded linear operators admits bishop phelps bollob type theorem numerical radius whenever ell mathbb mathbb essential tool provide constructive versions classical bishop phelps bollob theorem ell mathbb

Antonio J. Guirao 1 ; Olena Kozhushkina 2

1 IUMPA Universidad Politécnica de Valencia 46022 Valencia, Spain
2 Department of Mathematical Sciences Kent State University Kent, OH 44242, U.S.A. 
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 numerical radius in $\ell _{1}(\mathbb {C})$
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Antonio J. Guirao; Olena Kozhushkina. The Bishop–Phelps–Bollobás property for
 numerical radius in $\ell _{1}(\mathbb {C})$. Studia Mathematica, Tome 218 (2013) no. 1, pp. 41-54. doi: 10.4064/sm218-1-3

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