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Acta Mathematica Scientia, 1992
Summary: We introduce and discuss the Ba sequence spaces. A characteristic of separability of Ba sequence space is given. Other important properties of Ba sequence spaces are discussed.
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Summary: We introduce and discuss the Ba sequence spaces. A characteristic of separability of Ba sequence space is given. Other important properties of Ba sequence spaces are discussed.
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Israel Journal of Mathematics, 1972
It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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It is proved that the set ofp's such thatlp is isomorphic to a subspace of a given Orlicz spacelFforms an interval. Some examples and properties of minimal Orlicz sequence spaces are presented. It is proved that an Orlicz function space (different froml2) is not isomorphic to a subspace of an Orlicz sequence space.
Lindenstrauss, J., Tzafriri, L.
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Nature, 1994
Digital imaging spectrophotometers can simultaneously measure the spectra of hundreds of features in a two-dimensional scene. While a variety of applications can be anticipated, a colorimetric analysis of mutants expressing pigmented proteins has already led to the development of efficient algorithms for optimizing combinatorial mutagenesis.
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Digital imaging spectrophotometers can simultaneously measure the spectra of hundreds of features in a two-dimensional scene. While a variety of applications can be anticipated, a colorimetric analysis of mutants expressing pigmented proteins has already led to the development of efficient algorithms for optimizing combinatorial mutagenesis.
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Analysis, 1987
In the present paper M. Buntinas defines the FK-product E\({\hat \otimes}F\) of two FK-spaces E and F to be the space of all sequences u which permit a representation \(u=\sum^{\infty}_{j=1}x^ j\cdot y^ j\) with \(x^ j\in E\) and \(y^ j\in F\), where convergence of the series is coordinatewise, such that \(\sum^{\infty}_{j=1}p(x^ j)q(y^ j)
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In the present paper M. Buntinas defines the FK-product E\({\hat \otimes}F\) of two FK-spaces E and F to be the space of all sequences u which permit a representation \(u=\sum^{\infty}_{j=1}x^ j\cdot y^ j\) with \(x^ j\in E\) and \(y^ j\in F\), where convergence of the series is coordinatewise, such that \(\sum^{\infty}_{j=1}p(x^ j)q(y^ j)
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1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FISHER, B, PEHLIVAN, S
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FISHER, B, PEHLIVAN, S
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On thef-dual of sequence spaces
Archiv der Mathematik, 1992See the preview in Zbl 0728.46007.
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1994
Among the most important and simplest normed and Banach spaces are the sequence spaces—vector subspaces of the vector space ℝℕ of all real sequences. The sequence spaces can be thought of as the “building blocks” of Banach spaces and Banach lattices.
Charalambos D. Aliprantis, Kim C. Border
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Among the most important and simplest normed and Banach spaces are the sequence spaces—vector subspaces of the vector space ℝℕ of all real sequences. The sequence spaces can be thought of as the “building blocks” of Banach spaces and Banach lattices.
Charalambos D. Aliprantis, Kim C. Border
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1997
Abstract In this chapter we shall consider sequence spaces systematically. In that way we shall be making clear with concrete examples a whole series of concepts introduced earlier and also be giving several counter-examples which have already been repeatedly referred to.
Reinhold Meise, Dietmar Vogt
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Abstract In this chapter we shall consider sequence spaces systematically. In that way we shall be making clear with concrete examples a whole series of concepts introduced earlier and also be giving several counter-examples which have already been repeatedly referred to.
Reinhold Meise, Dietmar Vogt
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On Some Sequence Spaces Related to a Sequence in a Normed space
2019In this paper, we introduce some new multiplier sequence spaces by using sequences in a normed space $X$ and matrix domain of Ces\'aro summability method in $\ell_\infty$ and $c_0$. Then we obtain the characterizations of completeness and barrelledness of normed space $X$ through its weakly and weakly* unconditionally Cauchy series.
KAMA, Ramazan, ALTAY, Bilal
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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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