The Bishop-Phelps-Bollobás property for numerical radius in ℓ₁(ℂ)

• Autorzy: Antonio J. Guirao , Olena Kozhushkina
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 47A12: Numerical range, numerical radius
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 218
• Numer: 1
• Strony: 41-54

Daty

wydano

2013

Twórcy

autor

Antonio J. Guirao

• IUMPA, Universidad Politécnica de Valencia, 46022 Valencia, Spain

autor

Olena Kozhushkina

• Department of Mathematical Sciences, Kent State University, Kent, OH 44242, U.S.A.

Identyfikatory

DOI

10.4064/sm218-1-3