Results 151 to 160 of about 962 (185)
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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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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, 1985There 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, 1994The 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, 1984In 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, 2021zbMATH 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, 1992See 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, 1982Translation 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, 2009Summary: 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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COEFFICIENT SEQUENCES IN HILBERT AND BANACH SPACE EXPANSIONS
Mathematics of the USSR-Izvestiya, 1971In this article we prove some theorems about the sequences of coefficients which occur for expansions relative to a basis in a Banach space, and for a certain type of basis in investigated by K. I. Babenko, namely , . As an application of our results, we prove that there exists no universal basis in a separable Hilbert space.
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On Operators Acting on Convergent Sequences in Banach Spaces
Mathematische Nachrichten, 1996AbstractOur concern is to find a representation theorem for operators in B(c(X), c(Y)) where X and Y are Banach spaces with Y containing an isomorphic copy of c0. Cass and Gao [1] obtained a representation theorem that always applies if Y does not contain an isomorphic copy of c0.
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