Results 191 to 200 of about 2,451 (228)

Onc 0 sequences in Banach spaces

Israel Journal of Mathematics, 1989
A Banach space has property (S) if every normalized weakly null sequence contains a subsequence equivalent to the canonical basis of \((c_ 0)\). It is shown that equivalence constants can be choosen independent of the original sequence. It is also shown that property (S) implies property (a) introduced by \textit{A. Pelczynski} [Bull. Acad. Polon. Sci.,
Knaust, H., Odell, E.
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Banach sequence spaces

2018
Mathematics Technical ...
Mizel, Victor J., Sundaresan
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Independent sequences in Banach spaces

Israel Journal of Mathematics, 1982
In every ∞-dimensional separable Banach spaceX there is a fundamental sequence such that no subsequence of it, which is fundamental inX, is independent (“{x n} is fundamental inX” meansX=span {x n}).
Szankowski, A., Terenzi, P.
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Banach–Saks property in Marcinkiewicz spaces

Journal of Mathematical Analysis and Applications, 2007
We catalogue all Marcinkiewicz function and sequence spaces with the Banach–Saks property and present necessary and sufficient conditions for a wide subclass of spaces to possess the p-Banach–Saks property ...
Fedor Sukochev
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Sequences in Banach spaces

1983
The subject of the Note is the set of all the subsequences of a linearly independent sequence of a Banach space. There are described the elementary types of this set, that is some types of subsequences such that all the other subsequences are union of these elementary types.
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On the geometry of sequences in Banach space

Rendiconti del Seminario Matematico e Fisico di Milano, 1985
There is a general view on the regular M-bases in Banach spaces, by means of a geometrical approach; in particular these sequences are characterized by means of the new concepts of the ``intersection property'' and of the ``unit position'' of a vector.
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Optimization of sequences in a Banach space

Rendiconti del Seminario Matematico e Fisico di Milano, 1994
The author gives a survey of how certain types of Markushevich bases \((a_i)\), for a separable Banach space, can be described by properties of the geometry \(g(a_i)\) of the sequence \((a_i)\). Here \(g(a_i)= \{W_S; S\subset\mathbb{N}\}\), where \(W_S\) is the closed linear hull of the set \(\{a_j; j\in S\}\). This paper is very badly written.
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On a classification of sequences in Banach spaces

Archiv der Mathematik, 1984
In this paper we study the nature and properties of those sequences \({\mathcal S}=(a_ n)_{n\in N}\) in a Banach space B which verify one of the following conditions: 1) \([a_ k;k\in S]\cap [a_ r;r\in T]=[a_ h;h\in S\cap T]\) for any finite \(S\subset N\) and infinite, with infinite complement, subset \(T\subset N.\) 2) \([a_ k\); \(k\in S]\cap [a_ r;r\
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The Ball-Covering Property on Dual Spaces and Banach Sequence Spaces

Acta Mathematica Scientia, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Spaces of Sequences in a Banach Space Associated with a Sequence of Independent Random Variables

Theory of Probability & Its Applications, 1992
See the review in Zbl 0727.60010.
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