O některých Banachových problémech
O Schauderových bázích a jejich aplikacích
Obstacles to bounded recovery.
On a characterization of reflexive Banach spaces
On a class of Hausdorff compact and GSG Banach spaces
On a class of reflexive spaces related to Ulam's conjecture on measurable cardinals.
On a class of universal Orlicz function spaces
On a class of weak Asplund spaces which has some permanence properties
On a conjecture of L. Veselý
On a decomposition of Banach spaces
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 This improves an earlier unpublished result of E. Matoušková.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...
On a direct decomposition of the space .
On a discrete version of the antipodal theorem
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]).
On a dual locally uniformly rotund norm on a dual Vašák space
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.
On a formula of le Merdy for the complex interpolation of tensor products.
On a functional-analysis approach to orthogonal sequences problems.
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.
On a Method of Moments
On a new method in intuitionist linear analysis
On a nonlinear compactness lemma in .
On a problem of moments of S. Rolewicz
On a Property of the Norm which is Close to Local Uniform Rotundity.