Results 31 to 40 of about 3,442,984 (210)
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 ...
openaire +1 more source
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
doaj +2 more sources
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
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Examples of non-archimedean nuclear Frechet spaces without a Schauder basis [PDF]
, 2000 We solve the problem of the existence of a Schauder basis in non-archimedean Frechet spaces of countable type. Using examples of real nuclear Frechet spaces without a Schauder basis we construct examples of non-archimedean nuclear Frechet spaces ...
Śliwa, Wiesław
core
A geometric characterization of Schauder basis
, 2021 Concerning basis in a Banach space, a characterization for a weak basis to be a Schauder basis is given in terms of the geometrical behavior of the set of linear, closed hulls wich are generated by subsequences of the expansion sequences of the ...
Reyes Rodriguez, Andrés
core
A Note on the Sequence Space b_p^(r,s) (G)
Cumhuriyet Science Journal, 2017 In this study, we define the sequence space derived by the composition of the Binomialmatrix and generalized difference(double band) matrix and show that the space is linearly isomorphic to the space , where .
Mustafa Cemil Bişgin
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 49, Issue 12, Page 14244-14265, August 2026.ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti +2 more
wiley +1 more source
Environmental Microbiology, Volume 28, Issue 8, August 2026.Anaerobic biodegradation of benzene by sulphate‐reducing strain BzS1 was studied by combining genomics, differential proteomics and targeted metabolite analyses. Strain BzS1 has an exceptionally streamlined metabolism. A highly abundant heterotrimeric flavoprotein may add benzene to either enolpyruvate or glutaconyl‐CoA followed by channelling into the
Florin Musat +11 more
wiley +1 more source
Angles and Schauder basis in Hilbert spaces
, 2018 5 ...
Hou, Bingzhe +3 more
openaire +2 more sources