O některých Banachových problémech
O Schauderových bázích a jejich aplikacích
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 result of K.M. Saidukov
On a result of Olevskiĭ : a uniformly bounded orthonormal sequence is not a basis for
On an orthonormal polynomial basis in the space C[-1,1]
We show that in the space C[-1,1] there exists an orthogonal algebraic polynomial basis with optimal growth of degrees of the polynomials.
On asymptotically symmetric Banach spaces
A Banach space X is asymptotically symmetric (a.s.) if for some C < ∞, for all m ∈ ℕ, for all bounded sequences , 1 ≤ i ≤ m, for all permutations σ of 1,...,m and all ultrafilters ₁,...,ₘ on ℕ, . We investigate a.s. Banach spaces and several natural variations. X is weakly a.s. (w.a.s.) if the defining condition holds when restricted to weakly convergent sequences . Moreover, X is w.n.a.s. if we restrict the condition further to normalized weakly null sequences. If X is a.s. then all spreading...
On Banach ideals determined by Banach lattices and their applications [Book]
On Banach spaces in which every M-basis is a generalized summation basis
On Banach Spaces with the Gelfand-Philips Property.
On bases and projections in non-Archimedean Banach spaces.
On Bases And Projections In Non-Archimedean Banach Spacs
On bases and the shift operator
On bases and unconditional bases in the spaces ,1≤p<∞
On bases, compactness and weak convergence in the Banach space
On bases in Banach spaces
We investigate various kinds of bases in infinite-dimensional Banach spaces. In particular, we consider the complexity of Hamel bases in separable and non-separable Banach spaces and show that in a separable Banach space a Hamel basis cannot be analytic, whereas there are non-separable Hilbert spaces which have a discrete and closed Hamel basis. Further we investigate the existence of certain complete minimal systems in as well as in separable Banach spaces.
On basic Hahn-Banach extensions
On Besselian Schauder Bases in l... (E).
On bibasic systems and a Retherford’s problem
Ogni spazio di Banach ha un sistema bibasico normalizzato; inoltre ogni successione uniformemente minimale appartiene ad un sistema biortogonale limitato , dove è M-basica e normante.
On Biorthogonal Systems and Total Sequences of Functionals.