Results 101 to 110 of about 9,771 (187)

Matrix transformations of Schauder bases [PDF]

open access: yesStudia Mathematica, 1967
Baric, L. W., Ruckle, W.
openaire   +2 more sources

Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space

open access: yesCommunications in Advanced Mathematical Sciences
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
doaj   +1 more source

An isometrically universal Banach space with a monotone Schauder basis

open access: yes, 2014
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.
openaire   +2 more sources

Compact operators on the new Motzkin sequence spaces

open access: yesAIMS Mathematics
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
doaj   +1 more source

Developments in Schauder basis theory [PDF]

open access: yesBulletin of the American Mathematical Society, 1972
openaire   +2 more sources

On a special Schauder basis for the Sobolev spaces $W_{0}^{1,p}(\Omega)$

open access: yesIllinois Journal of Mathematics, 1995
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.
openaire   +3 more sources

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