Distinguished subsets and complemented copies of C in vector sequence spaces.
Fernando Bombal (1990)
Extracta Mathematicae
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Displaying similar documents to “An approach to Schreier's space.”
Distinguished subsets and complemented copies of C in vector sequence spaces.
Some permanence results of properties of Banach spaces
Giovanni Emmanuele (2004)
Commentationes Mathematicae Universitatis Carolinae
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Using some known lifting theorems we present three-space property type and permanence results; some of them seem to be new, whereas other are improvements of known facts.
On certain subsets of Bochner integrable function spaces.
Fernando Bombal (1991)
Extracta Mathematicae
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One of the most important methods used in literature to introduce new properties in a Banach space E, consists in establishing some non trivial relationships between different classes of subsets of E. For instance, E is reflexive, or has finite dimension, if and only if every bounded subset is weakly relatively compact or norm relatively compact, respectively. On the other hand, Banach spaces of the type C(K) and Lp(μ) play a vital role in the general...
On the Dunford-Pettis property in Banach spaces
J. M. F. Castillo, M. Gonzáles (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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On some subsets of
Fernando Bombal (1991)
Czechoslovak Mathematical Journal
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Extraction of subsequences in Banach spaces.
Jesús M. Fernández Castillo (1992)
Extracta Mathematicae
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Biorthogonal systems in Banach spaces
Michael A. Coco (2004)
Studia Mathematica
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We give biorthogonal system characterizations of Banach spaces that fail the Dunford-Pettis property, contain an isomorphic copy of c₀, or fail the hereditary Dunford-Pettis property. We combine this with previous results to show that each infinite-dimensional Banach space has one of three types of biorthogonal systems.