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Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]

Arch Ration Mech Anal
Chen GG, Irving C, Torres M.
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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

1966
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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On Subsequential Averages of Sequences in Banach Spaces

Real Analysis Exchange, 2023
This paper gives a strong contribution to the solution to the conjecture described next. Conjecture 1. Let \(\mathcal{X}\) be a Banach space, and suppose that \(x=\{x_n\}_{n=0}^{\infty}\subseteq\mathcal{X}\). Then the set \[\overline{x}^c=\left\{y\in\mathcal{X}: \exists \text{ a strictly increasing sequence } \{k_n\}\text{ s.t.
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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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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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COEFFICIENT SEQUENCES IN HILBERT AND BANACH SPACE EXPANSIONS

Mathematics of the USSR-Izvestiya, 1971
In 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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Relative Position, Sequences and Operators in Banach Spaces

Mathematische Nachrichten, 1994
This note is a contribution in the research about the relative position of closed subspaces of a Banach space \(B\). In connection with the previous problem, we have among others the following questions: 1) For an \(M\)-basic sequence \((a_i)_{i\in\mathbb{N}}\) of \(B\) the knowledge of the relative position of any two subspaces \([(a_i)_{i\in S ...
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