Evaluation maps, restriction maps, and compactness
Elizabeth Bator, Paul Lewis, James Ochoa (1998)
Colloquium Mathematicae
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Displaying similar documents to “On the class of continuous images of Valdivia compacta.”
Evaluation maps, restriction maps, and compactness
Operator decomposition of continuous mappings.
Rosas, Ennis, Vielma, Jorge (1999)
Divulgaciones Matemáticas
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A Characterization of Weakly Lindelöf Determined Banach Spaces
Kalenda, Ondřej (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 46B26, 46B03, 46B04. We prove that a Banach space X is weakly Lindelöf determined if (and only if) each non-separable Banach space isomorphic to a complemented subspace of X has a projectional resolution of the identity. This answers a question posed by S. Mercourakis and S. Negrepontis and yields a converse of Amir-Lindenstrauss’ theorem. We also prove that a Banach space of the form C(K) where K is a continuous image of a Valdivia...
On p-summable sequences in locally convex spaces.
Jesús M. Fernández Castillo, Marilda A. Simôes (2003)
Extracta Mathematicae
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Krasnoselskii-type fixed point theorems under weak topology settings and applications.
Xiang, Tian, Yuan, Rong (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Characterizations of series in Banach spaces.
Aizpuru, A., Pérez-Fernández, F.J. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Note on weakly inward mappings
Michal Fečkan (1996)
Annales Polonici Mathematici
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The Nielsen fixed point theory is used to show several results for certain operator equations involving weakly inward mappings.
Kneser's theorems for strong, weak and pseudo-solutions of ordinary differential equations in Banach spaces
Mieczysław Cichoń, Ireneusz Kubiaczyk (1995)
Annales Polonici Mathematici
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We investigate the structure of the set of solutions of the Cauchy problem x’ = f(t,x), x(0) = x₀ in Banach spaces. If f satisfies a compactness condition expressed in terms of measures of weak noncompactness, and f is Pettis-integrable, then the set of pseudo-solutions of this problem is a continuum in , the space of all continuous functions from I to E endowed with the weak topology. Under some additional assumptions these solutions are, in fact, weak solutions or strong Carathéodory...
On -closed sets and their topology.
Ekici, Erdal, Jafari, Saeid (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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A note on weakly hereditarily closure-preserving families.
Shen, Jianhua, Ge, Ying, Ge, Zhihong (2006)
Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]
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New examples of weakly compact approximation in Banach spaces.
Saksman, Eero, Tylli, Hans-Olav (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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A converse to Amir-Lindenstrauss theorem in complex Banach spaces.
Ondrej F. K. Kalenda (2006)
RACSAM
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We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.