Results 41 to 50 of about 9,771 (187)

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, Nashat Faried, Samy A. Harisa, Kottakkaran Sooppy Nisar   +3 more
doaj   +1 more source

Non-universal families of separable Banach spaces

, 2015
We prove that if $ C $ is a family of separable Banach spaces which is analytic with respect to the Effros-Borel structure and none member of $ C $ is isometrically universal for all separable Banach spaces, then there exists a separable Banach space ...
Kurka, Ondřej
core   +1 more source

Bounded completeness and Schauder's basis for C[0, 1] [PDF]

Glasgow Mathematical Journal, 1986
A basis , for a Banach space X is said to be boundedly complete [4, p. 284] if whenever is a sequence of scalars for which converges. It is well-known [2, p. 70] that if is a boundedly complete basis for X then X is isometric to a conjugate space; in fact, X = [fi]*, where is the sequence of coefficient functionals associated with the basis It ...
openaire   +1 more source

A Schauder basis for $L_{1}(0,\infty)$ consisting of non-negative functions [PDF]

Illinois Journal of Mathematics, 2015
We construct a Schauder basis for $L_1$ consisting of non-negative functions and investigate unconditionally basic and quasibasic sequences of non-negative functions in $L_p$, $1\le p < \infty$.
Johnson, William B., Schechtman, Gideon
openaire   +4 more sources

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

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

ZOO OF IDEAL SCHAUDER BASES

The Journal of Symbolic Logic
Abstract We investigate the notion of ideal (equivalently: filter) Schauder basis of a Banach space. We do so by providing bunch of new examples of such bases that are not the standard ones, especially within classical Banach spaces ( $\ell _p$ , $c_0$ , and James’ space).
ADAM KWELA, JAROSŁAW SWACZYNA
openaire   +2 more sources

Inner‐Layer Asymptotics in Partially Perforated Domains: Coupling Across Flat and Oscillating Interfaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3353-3384, 15 March 2026.
ABSTRACT The article examines a boundary‐value problem in a bounded domain Ωε$$ {\Omega}_{\varepsilon } $$ consisting of perforated and imperforate regions, with Neumann conditions prescribed at the boundaries of the perforations. Assuming the porous medium has symmetric, periodic structure with a small period ε$$ \varepsilon $$, we analyze the limit ...
Taras Melnyk
wiley   +1 more source

Schauder basis in a locally k-convex space and perfect sequence spaces [PDF]

Proyecciones (Antofagasta), 2011
In this work, we are dealing with the natural topology in a perfect sequence space and the transfert of topologies of a locally K — convex space E with a Schauder basis (ei )i to such Space. We are also interested with the compatible topologies on E for which the basis(ei )i is equicontinuous, and the weak basis problem.
Ameziane Hassani, R, El Amrani, A, Babahmed, M   +2 more
openaire   +2 more sources

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source