A new operator characterization of the Dunford-Pettis property
Fernando Bombal Gordon (1987)
Extracta Mathematicae
Similarity:
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Fernando Bombal Gordon (1987)
Extracta Mathematicae
Similarity:
Jesús M. Fernández Castillo, Manuel González (1991)
Extracta Mathematicae
Similarity:
In 1930, J. Schreier [10] introduced the notion of admissibility in order to show that the now called weak-Banach-Saks property does not hold in every Banach space. A variation of this idea produced the Schreier's space (see [1],[2]). This is the space obtained by completion of the space of finite sequences with respect to the following norm: ||x||S = sup(A admissible) ∑j ∈ A |xj|, ...
J. M. F. Castillo, M. Gonzáles (1994)
Acta Universitatis Carolinae. Mathematica et Physica
Similarity:
Bombal, Fernando (1988)
Portugaliae mathematica
Similarity:
Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
Similarity:
Cho-Ho Chu, Bruno Iochum (1990)
Studia Mathematica
Similarity:
Emmanuele, G. (1996)
Portugaliae Mathematica
Similarity:
Ioana Ghenciu, Paul Lewis (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
Dunford-Pettis type properties are studied in individual Banach spaces as well as in spaces of operators. Bibasic sequences are used to characterize Banach spaces which fail to have the Dunford-Pettis property. The question of whether a space of operators has a Dunford-Pettis property when the dual of the domain and the codomain have the respective property is studied. The notion of an almost weakly compact operator plays a consistent and important role in this study.