Matrix transformations of Schauder bases [PDF]
Baric, L. W., Ruckle, W.
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Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space
In this study, it is introduced the regular Mersenne matrix operator which is obtained by using Mersenne numbers and examined sequence spaces described as the domain of this matrix in the space of $p$-summable sequences for $1\leq p \leq \infty$.
Sezer Erdem, Serkan Demiriz
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Editorial: Quorum-sensing in Gram-positive pathogens - mechanisms, role in infection, and potential as a therapeutic target. [PDF]
Otto M, Dickey SW, Wolz C.
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An isometrically universal Banach space with a monotone Schauder basis
We present an isometric version of the complementably universal Banach space $\mathcal{B}$ with a monotone Schauder basis. The space $\mathcal{B}$ is isomorphic to Pe czy ski's space with a universal basis as well as to Kadec' complementably universal space with the bounded approximation property.
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Compact operators on the new Motzkin sequence spaces
This study aims to construct the BK-spaces $ \ell_p(\mathcal{M}) $ and $ \ell_{\infty}(\mathcal{M}) $ as the domains of the conservative Motzkin matrix $ \mathcal{M} $ obtained by using Motzkin numbers.
Sezer Erdem
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Developments in Schauder basis theory [PDF]
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Differential and integral calculus for a Schauder basis on a fractal set (I) (Schauder basis 80 years after) [PDF]
Julian Ławrynowicz +2 more
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On a special Schauder basis for the Sobolev spaces $W_{0}^{1,p}(\Omega)$
The author proves the existence of a Schauder basis of \(W_0^{1,p} (\Omega)\) (where \(\Omega\) is a general smooth subdomain of \(\mathbb{R}^n\)) with a property that is weaker than that of having elements that are mutually orthogonal in \(L^2 (\Omega)\) but that can usefully be substituted for it in some contexts.
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Haar null closed and convex sets in separable Banach spaces. [PDF]
Ravasini D.
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Two new fibonomial difference sequence spaces and related dual properties [PDF]
Muhammet Cihat Dağlı
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