Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Tauberian operators on $L_1(μ)$ spaces

100%

Gonzalez M., Martínez-Abejón A.

Studia Mathematica

1997

tom 125

nr 3

289-303

We characterize tauberian operators $T:L_1(μ) → Y$ in terms of the images of disjoint sequences and in terms of the image of the dyadic tree in $L_1[0,1]$. As applications, we show that the class of tauberian operators is stable under small norm perturbations and that its perturbation class coincides with the class of all weakly precompact operators. Moreover, we prove that the second conjugate of a tauberian operator $T:L_1(μ) → Y$ is also tauberian, and the induced operator $T̃: L_1(μ)**/L_1(μ) → Y**/Y$ is an isomorphism into. Also, we show that $L_1(μ)$ embeds isomorphically into the quotient of $L_1(μ)$ by any of its reflexive subspaces.

Ograniczanie wyników

1 Studia Mathematica

1 Gonzalez M.

1 Martínez-Abejón A.

1 1997

Wyniki wyszukiwania

Tauberian operators on $L_1(μ)$ spaces