Results 21 to 30 of about 482 (178)
A New Paranormed Sequence Space Defined by Regular Bell Matrix
Dera Natung Government College Research Journal, 2023 This paper aims to construct a new paranormed sequence space by the aid of a regular matrix of Bell numbers. As well, its special duals such as α−,β−,γ− duals are presented and Schauder basis is determined.
Murat Karakaş, Muhammet Cihat Dağlı
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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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Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces
Journal of Function Spaces and Applications, 2013 The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
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Restricting a Schauder Basis to a Set of Positive Measure [PDF]
Transactions of the American Mathematical Society, 1973 Let { f n
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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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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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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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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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Operators constructed by means of basic sequences and nuclear matrices
Advances in Difference Equations, 2019 In this work, we establish an approach to constructing compact operators between arbitrary infinite-dimensional Banach spaces without a Schauder basis. For this purpose, we use a countable number of basic sequences for the sake of verifying the result of
Ahmed Morsy +3 more
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