Characterization of uniformly convex and smooth Banach spaces by using Carleson measures in Bessel settings [PDF]
In this paper we obtain new characterizations of the q-uniformly convex and smooth Banach spaces by using Carleson measures. These measures are defined by Poisson integral associated with Bessel operators and Banach valued BMO-functions.
Betancor, Jorge J.+2 more
core
Common Fixed Points of Three Multivalued Nonexpansive Random Operators For One Step Iterative Scheme
In this paper, we introduce a new one-step iteration process in Banach space and prove the existence of a common random fixed point of three non-expansive multivalued random operators through strong and weak convergences of an iterative process.
Sabah Hassan Malih+2 more
doaj +1 more source
The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Sodini GE.
europepmc +1 more source
Mordukhovich derivatives of the normalized duality mapping in Banach spaces [PDF]
In this paper, we investigate some properties of the Mordukhovich derivatives of the normalized duality mapping in Banach spaces. For the underlying spaces, we consider three cases: uniformly convex and uniformly smooth Banach space lp; general Banach spaces L1 and C[0,1].
arxiv
Locally uniformly rotund points in convex-transitive Banach spaces
AbstractAlmost transitive superreflexive Banach spaces have been considered in [C. Finet, Uniform convexity properties of norms on superreflexive Banach spaces, Israel J. Math. 53 (1986) 81–92], where it is shown that they are uniformly convex and uniformly smooth.
Angel Rodríguez Palacios+1 more
openaire +2 more sources
Denseness of Numerical Radius Attaining Holomorphic Functions
We study the density of numerical radius attaining holomorphic functions on certain Banach spaces using the Lindenstrauss method. In particular, it is shown that if a complex Banach space X is locally uniformly convex, then the set of all numerical ...
Han Ju Lee
doaj +1 more source
Notes on spectral theory on Banach spaces [PDF]
We consider a compact linear map T acting between Banach spaces both of which are uniformly convex and uniformly smooth; it is supposed that T has trivial kernel and range dense in the target space.
Lang, Jan
core +1 more source
Existence and decay of solutions of some nonlinear parabolic variational inequalities
This paper discusses the existence and decay of solutions u(t) of the variational inequality of parabolic type: ≧0for ∀v∈Lp([0,∞);V)(p≧2) with v(t)∈K a.e.
Mitsuhiro Nakao, Takashi Narazaki
doaj +1 more source
Nonexpansive iterations in uniformly convex $W$-hyperbolic spaces [PDF]
We propose the class of uniformly convex $W$-hyperbolic spaces with monotone modulus of uniform convexity ($UCW$-hyperbolic spaces for short) as an appropriate setting for the study of nonexpansive iterations. $UCW$-hyperbolic spaces are a natural generalization both of uniformly convex normed spaces and CAT(0)-spaces.
arxiv
On the asymptotic behavior of iterates of nonexpansive mappings in uniformly convex Banach spaces [PDF]
Kazuo Kobayasi
openalex +1 more source