O některých Banachových problémech
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A. Pełczyński (1974)
Pokroky matematiky, fyziky a astronomie
Svatopluk Fučík, Alois Kufner (1974)
Pokroky matematiky, fyziky a astronomie
Shekhtman, Boris (2001)
Abstract and Applied Analysis
Emilia Perri (1983)
Rendiconti del Seminario Matematico della Università di Padova
O. Reynov (1981)
Studia Mathematica
P.K. Raman (1970)
Journal für die reine und angewandte Mathematik
César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
Luděk Jokl (1986)
Commentationes Mathematicae Universitatis Carolinae
J. Saint Raymond (1996)
Acta Universitatis Carolinae. Mathematica et Physica
Jakub Duda (2007)
Colloquium Mathematicae
By using D. Preiss' approach to a construction from a paper by J. Matoušek and E. Matoušková, and some results of E. Matoušková, we prove that we can decompose a separable Banach space with modulus of convexity of power type p as a union of a ball small set (in a rather strong symmetric sense) and a set which is Aronszajn null. This improves an earlier unpublished result of E. Matoušková. As a corollary, in each separable Banach space with modulus of convexity of power type p, there exists a closed...
Kähler, U. (1999)
Zeitschrift für Analysis und ihre Anwendungen
Krzysztof Oleszkiewicz (1996)
Fundamenta Mathematicae
The classical theorem of Borsuk and Ulam [2] says that for any continuous mapping there exists a point such that f(-x) = f(x). In this note a discrete version of the antipodal theorem is proved in which is replaced by the set of vertices of a high-dimensional cube equipped with Hamming’s metric. In place of equality we obtain some optimal estimates of which were previously known (as far as the author knows) only for f linear (cf. [1]).
Marián Fabian (1991)
Studia Mathematica
We transfer a renorming method of transfer, due to G. Godefroy, from weakly compactly generated Banach spaces to Vašák, i.e., weakly K-countably determined Banach spaces. Thus we obtain a new construction of a locally uniformly rotund norm on a Vašák space. A further cultivation of this method yields the new result that every dual Vašák space admits a dual locally uniformly rotund norm.
Michels, C. (2010)
Annals of Functional Analysis (AFA) [electronic only]
Vladimir P. Fonf, Anatolij M. Plichko, V. V. Shevchik (2001)
RACSAM
Sea T un operador lineal acotado e inyectivo de un espacio de Banach X en un espacio de Hilbert H con rango denso y sea {xn} ⊂ X una sucesión tal que {Txn} es ortogonal. Se estudian propiedades de {Txn} dependientes de propiedades de {xn}. También se estudia la ""situación opuesta"", es decir, la acción de un operador T : H → X sobre sucesiones ortogonales.
S. Rolewicz (1973)
Publications du Département de mathématiques (Lyon)
Sahab Lal Shukla (1973)
Compositio Mathematica
Maitre, Emmanuel (2003)
International Journal of Mathematics and Mathematical Sciences
Ivan Singer (1973)
Studia Mathematica
S.L. Troyanski (1985)
Mathematische Annalen
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