Results 161 to 170 of about 2,646,098 (197)

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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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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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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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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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 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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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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Banach-Saks exponent of certain Banach spaces of sequences

Mathematical Notes of the Academy of Sciences of the USSR, 1982
Translation from Mat. Zametki 32, No.5, 613-625 (Russian) (1982; Zbl 0505.46005).
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On the boundedness of one recurrent sequence in a banach space

Ukrainian Mathematical Journal, 2009
Summary: We establish necessary and sufficient conditions under which a sequence \(x_0=y_0\), \(x_{n+1}=Ax_n+y_{ n+1}\), \(n\geq0\), is bounded for each bounded sequence \(\{y_n:n\geq0\}\subset\{x\in\bigcup_{n=1}^{\infty}D(A^n)|\sup_{n\geq0}\mid A^nx\|
Gorodnij, M. F., Vyatchaninov, O. V.
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