O některých Banachových problémech
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Displaying 1 – 20 of 98
O Schauderových bázích a jejich aplikacích
Svatopluk Fučík, Alois Kufner (1974)
Pokroky matematiky, fyziky a astronomie
On a functional-analysis approach to orthogonal sequences problems.
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.
On a result of K.M. Saidukov
Jun, Kunás K. (1971)
Portugaliae mathematica
On a result of Olevskiĭ : a uniformly bounded orthonormal sequence is not a basis for
A. Pełczynski (1973/1974)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
On an orthonormal polynomial basis in the space C[-1,1]
Krzysztof Woźniakowski (2001)
Studia Mathematica
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
M. Junge, D. Kutzarova, E. Odell (2006)
Studia Mathematica
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]
N. J. Nielsen (1973)
On Banach spaces in which every M-basis is a generalized summation basis
Ivan Singer (1979)
Banach Center Publications
On Banach Spaces with the Gelfand-Philips Property.
Lech Drewnowski (1986)
Mathematische Zeitschrift
On bases and projections in non-Archimedean Banach spaces.
P.K. Jain, N.M. Kapoor (1977)
Publications de l'Institut Mathématique [Elektronische Ressource]
On Bases And Projections In Non-Archimedean Banach Spacs
P. K. Jain, N. M. Kapoor (1977)
Publications de l'Institut Mathématique
On bases and the shift operator
J. Holub (1981)
Studia Mathematica
On bases and unconditional bases in the spaces ,1≤p<∞
K. Kazarian (1982)
Studia Mathematica
On bases, compactness and weak convergence in the Banach space
J. T. Marti (1971)
Colloquium Mathematicae
On bases in Banach spaces
Tomek Bartoszyński, Mirna Džamonja, Lorenz Halbeisen, Eva Murtinová, Anatolij Plichko (2005)
Studia Mathematica
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
James Holub (1987)
Studia Mathematica
On Besselian Schauder Bases in l... (E).
M.A. Fugarolas (1984)
Monatshefte für Mathematik
On bibasic systems and a Retherford’s problem
Anatoli Pličko, Paolo Terenzi (1984)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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.
Ivan SINGER (1971)
Mathematische Annalen
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