Results 31 to 40 of about 9,778 (190)
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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Maximal left ideals of the Banach algebra of bounded operators on a Banach space [PDF]
, 2013 We address the following two questions regarding the maximal left ideals of the Banach algebra $\mathscr{B}(E)$ of bounded operators acting on an infinite-dimensional Banach pace $E$: (Q1) Does $\mathscr{B}(E)$ always contain a maximal left ideal which
Dales, H. G. +4 more
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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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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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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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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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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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