Results 41 to 50 of about 9,778 (190)

Subsymmetric weak$^*$ Schauder bases and factorization of the identity

, 2018
Let $X^*$ denote a Banach space with a subsymmetric weak$^*$ Schauder basis satisfying condition~\eqref{eq:condition-c}. We show that for any operator $T : X^*\to X^*$, either $T(X^*)$ or $(I-T)(X^*)$ contains a subspace that is isomorphic to $X^*$ and ...
Lechner, Richard
core   +1 more source

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

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

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

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +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

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

Perturbations of frames

, 2013
In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames.
Chen, Dongyang, Li, Lei, Zheng, Bentuo
core   +1 more source