Results 131 to 140 of about 2,878,272 (172)
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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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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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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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Universal Köthe Sequence Spaces
Monatshefte f�r Mathematik, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Díaz, Juan Carlos, Angeles Miñarro, M.
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Israel Journal of Mathematics, 1971
It is proved that every Orlicz sequence space contains a subspace isomorphic to somel p . The question of uniqueness of symmetric bases in Orlicz sequence spaces is investigated.
Lindenstrauss, J., Tzafriri, L.
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It is proved that every Orlicz sequence space contains a subspace isomorphic to somel p . The question of uniqueness of symmetric bases in Orlicz sequence spaces is investigated.
Lindenstrauss, J., Tzafriri, L.
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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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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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Convergence in Sequence Spaces
Proceedings of the Edinburgh Mathematical Society, 1958In a perfect sequence space α, on which a norm is defined, we can consider three types of convergence, namely projective convergence, strong projective convergence and distance convergence. In the space σ∞, when distance is defined in the usual way, the last two types of convergence coincide and are distinct from projective convergence ((2), p.
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Results in Mathematics, 1993
Let \(T= (t_{nk})\) be a row-finite matrix such that each column belongs to the space \(bv\) of sequences of bounded variation. The \(T\)-sections of a sequence \(x= (x_ k)\) are defined as \(t^ n x:= \sum_ k t_{nk} x_ k e^ k\), where \(e^ k:= (\delta_{ki})_ i\) \((k\in \mathbb{K})\).
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Let \(T= (t_{nk})\) be a row-finite matrix such that each column belongs to the space \(bv\) of sequences of bounded variation. The \(T\)-sections of a sequence \(x= (x_ k)\) are defined as \(t^ n x:= \sum_ k t_{nk} x_ k e^ k\), where \(e^ k:= (\delta_{ki})_ i\) \((k\in \mathbb{K})\).
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BELL DIFFERENCE SEQUENCE SPACES
jnanabhaIn this article we define the new sequence spaces Bˆ ∞ (∆), Bˆ c (∆) and Bˆ 0 (∆) by introducing a new regular matrix Bˆ ∆ with the composition of the Bell matrix Bˆ and the backward difference operator ∆. Also we have determined the Schauder basis, certain inclusion relations, α−, β− and γ−duals along with matrix transformations.
Jena, Diptimayee, Dutta, Salila
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