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On pα-dual spaces of generalized difference sequence spaces

open access: yesApplied Mathematics Letters, 2012
In this paper, we compute the pα-, pβ- and pγ-duals of the sequence spaces ℓ∞(km),c(km),c0(km), the pN-dual of the sequence spaces Δv,rm(ℓ∞),Δv,rm(c) and the pα-dual of the sequence spaces Δv,rm(ℓ∞),Δv,rm(c) and Δv,rm(c0)
Işık, Mahmut, Et, Mikail
exaly   +2 more sources
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DUAL DIFFERENTIATION SPACES

Bulletin of the Australian Mathematical Society, 2019
We show that if $(X,\Vert \cdot \Vert )$ is a Banach space that admits an equivalent locally uniformly rotund norm and the set of all norm-attaining functionals is residual then the dual norm $\Vert \cdot \Vert ^{\ast }$ on $X^{\ast }$ is Fréchet at
Moors, Warren B., Tan, Neşet Özkan
openaire   +2 more sources

\(BV\) as a dual space [PDF]

open access: possible, 2001
The authors prove that the normed vector space \(BV\) of games with bounded variation on a field \(\mathcal C\) is the topological dual of the linear space of games \(X\) with finite support endowed with an adequate norm. In fact, this norm is the restriction of the dual norm on \(BV^{\prime}\) when \(X\) is seen as a subspace of \(BV^{\prime}\).
Fabio Maccheroni, William H. Ruckle
openaire   +1 more source

The dual space

1995
Linear functionals and the dual space of a vector space are defined and characterized. Every vector space is shown to be canonically embeddable in its second dual. Maximal subspaces are characterized as kernels of nontrivial linear functionals. The trace of a square matrix is studied in detail. Over a field of characteristic 0, a square matrix is shown
openaire   +1 more source

On thef-dual of sequence spaces

Archiv der Mathematik, 1992
See the preview in Zbl 0728.46007.
openaire   +2 more sources

Dual space directional occlusion

The Visual Computer, 2013
Current real-time ambient or directional occlusion approximation methods are either screen space or object space based. Both methods suffer from drawbacks such as time incoherence and occlusion popping for screen space methods or loss of detailed occlusion effects caused by geometry simplification for object space methods.
Sebastian Herholz   +2 more
openaire   +2 more sources

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