On compactoidity in non-archimedean locally convex spaces with a Schauder basis
Indagationes Mathematicae (Proceedings), 1988 A subset A of a locally convex space E over a non-archimedean non- trivially valued complete field K is compactoid if for each zero neighborhood V in E there exists a finite set \(F\subseteq E\) such that \(A\leq V+C(F)\) where C(F) is the absolutely convex hull of F. It is a pure compactoid if in the above we can choose \(F\leq A.\) Gruson and Van Der
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Trends in Medically Integrated Dispensing Among Oncology Practices. [PDF]
JCO Oncol Pract, 2022 Kanter GP +11 more
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On the Existence of Polynomials with Chaotic Behaviour
Journal of Function Spaces and Applications, 2013 We establish a general result on the existence of hypercyclic (resp., transitive, weakly mixing, mixing, frequently hypercyclic) polynomials on locally convex spaces.
Nilson C. Bernardes, Alfredo Peris
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Matrix transformations of Schauder bases [PDF]
Studia Mathematica, 1967 Baric, L. W., Ruckle, W.
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Mersenne Matrix Operator and Its Application in $p-$Summable Sequence Space
Communications in Advanced Mathematical SciencesIn 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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An isometrically universal Banach space with a monotone Schauder basis
, 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.
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Editorial: Quorum-sensing in Gram-positive pathogens - mechanisms, role in infection, and potential as a therapeutic target. [PDF]
Front Cell Infect Microbiol, 2023 Otto M, Dickey SW, Wolz C.
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Developments in Schauder basis theory [PDF]
Bulletin of the American Mathematical Society, 1972 openaire +2 more sources
Differential and integral calculus for a Schauder basis on a fractal set (I) (Schauder basis 80 years after) [PDF]
Banach Center Publications, 2009 Julian Ławrynowicz +2 more
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On a special Schauder basis for the Sobolev spaces $W_{0}^{1,p}(\Omega)$
Illinois 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.
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