Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On the local moduli of squareness

100%

Guirao A.

Studia Mathematica

2008

tom 184

nr 2

175-189

We introduce the notions of pointwise modulus of squareness and local modulus of squareness of a normed space X. This answers a question of C. Benítez, K. Przesławski and D. Yost about the definition of a sensible localization of the modulus of squareness. Geometrical properties of the norm of X (Fréchet smoothness, Gâteaux smoothness, local uniform convexity or strict convexity) are characterized in terms of the behaviour of these moduli.

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

63%

Guirao A., Kozhushkina O.

Studia Mathematica

2013

tom 218

nr 1

41-54

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).

Ograniczanie wyników

2 Studia Mathematica

2 Guirao A.

1 Kozhushkina O.

1 2013

1 2008

Wyniki wyszukiwania

On the local moduli of squareness

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