Results 31 to 40 of about 9,771 (187)
Note on bases in algebras of analytic functions on Banach spaces
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $\{P_n\}_{n=0}^\infty$ be a sequenceof continuous algebraically independent homogeneous polynomials on a complex Banach space $X.$ We consider the following question: Under which conditions polynomials $\{P_1^{k_1}\cdots P_n^{k_n}\}$ form a Schauder
I.V. Chernega, A.V. Zagorodnyuk
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Schauder bases in Dirac modules over quaternions [PDF]
, 2013 Dirac modules over the quaternion skew field are investigated on a compact domain relative to the supremum norm and Hardy's norm with the parameter ...
Ludkovsky, Sergey V.
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L p -maximal regularity on Banach spaces with a Schauder basis [PDF]
Archiv der Mathematik, 2002 14 ...
Kalton, N. J., Lancien, G.
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Abstract and Applied Analysis, 2012 The concept of g-basis in Hilbert spaces is introduced, which generalizes Schauder basis in Hilbert spaces. Some results about g-bases are proved. In particular, we characterize the g-bases and g-orthonormal bases. And the dual g-bases are also discussed.
Xunxiang Guo
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Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions
Nonlinear Analysis, 2020 In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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On some generalized q-difference sequence spaces
AIMS Mathematics, 2023 In this study, we construct the spaces of $ q $-difference sequences of order $ m $. We obtain some inclusion relations, topological properties, Schauder basis and alpha, beta and gamma duals of the newly defined spaces.
Hacer Bilgin Ellidokuzoğlu +1 more
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A characterization of Schauder frames which are near-Schauder bases
, 2010 A basic problem of interest in connection with the study of Schauder frames in Banach spaces is that of characterizing those Schauder frames which can essentially be regarded as Schauder bases.
A. Alroubi +18 more
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Subseries Convergence in Spaces with a Schauder Basis [PDF]
Proceedings of the American Mathematical Society, 1995 Summary: Let \(E\) be a Hausdorff topological vector space having a Schauder basis \(\{b_ i\}\) and coordinate functionals \(\{f_ i\}\). Let \(\sigma(E, F)\) be the weak topology on \(E\) induced by \(F= \{f_ i: i\in \mathbb{N}\}\). We show that if a series in \(E\) is subseries convergent with respect to \(\sigma(E, F)\), then it is subseries ...
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Amalgamations of classes of Banach spaces with a monotone basis
, 2015 It was proved by Argyros and Dodos that, for many classes $ C $ of separable Banach spaces which share some property $ P $, there exists an isomorphically universal space that satisfies $ P $ as well.
Kurka, Ondřej
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Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
Fixed Point Theory and Applications, 2009 The authors present a method of numerical approximation of the fixed point of an operator, specifically the integral one associated with a nonlinear Fredholm integral equation, that uses strongly the properties of a classical Schauder basis in the Banach
M. I. Berenguer +3 more
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