Results 31 to 40 of about 28,594 (245)
On bases in Banach spaces [PDF]
Studia Mathematica, 2005 Several results about various kinds of bases in Banach spaces are presented. A large part of the paper is devoted to non-separable effects depending on set-theoretic assumptions. In particular, it is shown that in the standard ZFC axiomatics (Zermelo--Fraenkel + Axiom of Choice), a Hamel basis of a separable space cannot be an analytic set; that it is ...
Bartoszynski, Tomek +4 more
openaire +5 more sources
Some open problems on Banach spaces [PDF]
Математичні Студії, 2012 Notes of the Problem Session which has been held on the section of Banach Spaces during the International conference dedicated to the 120-th anniversary of Stefan Banach in Lviv (Ukraine), September 17–21, 2012.
A. M. Plichko, M. M. Popov
doaj
Journal of Function Spaces, 2015 Authors define w∗ nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator in w∗ nearly dentable space.
Shaoqiang Shang, Yunan Cui
doaj +1 more source
Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
Abstract and Applied Analysis, 2004 We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by ...
Fumiaki Kohsaka, Wataru Takahashi
doaj +1 more source
Atomic decomposition for preduals of some Banach spaces [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2020 Given a Banach space E with a supremum type norm induced by a sequence L=(Lj) of linear forms Lj: X→ R on the Banach space X, we prove that if the unit ball BX is σ(X, L)- compact then E has a predual E* with an atomic decomposition.
Luigi D'Onofrio +2 more
doaj
Unitaries in Banach spaces [PDF]
Illinois Journal of Mathematics, 2004 To \(x\in S_X\), the unit sphere of a Banach space \(X\), one associates its state space \(S_x=\{x^\ast\in S_{X^{\ast}}\mid x^\ast (x)=1\}\). \(x\) is a called a vertex if the span of \(S_x\) is weak-star dense in \(X^\ast\). A unitary is a vertex such that \(S_x =X^\ast\) and the set of unitaries is denoted by \(\mathcal{U}\).
Bandyopadhyay, Pradipta +2 more
openaire +3 more sources
Communications on Pure and Applied Mathematics, EarlyView.Abstract We address the problem of regularity of solutions ui(t,x1,…,xN)$u^i(t, x^1, \ldots, x^N)$ to a family of semilinear parabolic systems of N$N$ equations, which describe closed‐loop equilibria of some N$N$‐player differential games with Lagrangian having quadratic behaviour in the velocity variable, running costs fi(x)$f^i(x)$ and final costs gi(
Marco Cirant, Davide Francesco Redaelli
wiley +1 more source
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, EarlyView.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
Separability of Topological Groups: A Survey with Open Problems
Axioms, 2018 Separability is one of the basic topological properties. Most classical topological groups and Banach spaces are separable; as examples we mention compact metric groups, matrix groups, connected (finite-dimensional) Lie groups; and the Banach spaces ...
Arkady G. Leiderman, Sidney A. Morris
doaj +1 more source