Results 61 to 70 of about 3,875,192 (205)
Irish Mathematical Society Bulletin, 1987 This note presents a useful tool in Banach space theory: ultraproducts of Banach spaces. These provide a uniform method for manufacturing locally similar Banach spaces. In this way they relate local (finite dimensional) and global (infinite dimensional) structure.
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On Steffensen’s method on Banach spaces
Journal of Computational and Applied Mathematics, 2013 We present a modification of Steffensen's method as a predictor-corrector iterative method, so that we can use Steffensen's method to approximate a solution of a nonlinear equation in Banach spaces from the same starting points from which Newton's method converges.
J. A. Ezquerro +3 more
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Some Intersections of the Weighted -Spaces
Abstract and Applied Analysis, 2013 Let be a locally compact group an arbitrary family of the weight functions on and . The locally convex space as a subspace of is defined. Also, some sufficient conditions for that space to be a Banach space are provided.
F. Abtahi +3 more
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Vector-valued holomorphic and harmonic functions
Concrete Operators, 2016 Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with
Arendt Wolfgang
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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Generalized Numerical Index and Denseness of Numerical Peak Holomorphic Functions on a Banach Space
Abstract and Applied Analysis, 2013 The generalized numerical index of a Banach space is introduced, and its properties on certain Banach spaces are studied. Ed-dari's theorem on the numerical index is extended to the generalized index and polynomial numerical index of a Banach space.
Sung Guen Kim, Han Ju Lee
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Amenability Constants for Unconditional Sums of Banach Algebras
Mathematische Nachrichten, Volume 299, Issue 9, Page 2472-2494, September 2026.ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
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ITM Web of Conferences, 2018 In this paper, we introduce the concept of pentagonal cone b-metric space over Banach algebras as a generalization of cone metric space over Banach algebras and many of its generalizations. Furthermore, we prove Banach fixed point theorem in such a space.
Auwalu Abba
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Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System
Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
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Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Quantitative Biology, Volume 14, Issue 3, September 2026.Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
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