Results 31 to 40 of about 142,886 (250)
Normality of spaces of operators and quasi-lattices
, 2015 We give an overview of normality and conormality properties of pre-ordered Banach spaces. For pre-ordered Banach spaces $X$ and $Y$ with closed cones we investigate normality of $B(X,Y)$ in terms of normality and conormality of the underlying spaces $X ...
Messerschmidt, Miek
core +1 more source
A Generalization of Uniformly Extremely Convex Banach Spaces
Journal of Function Spaces, 2016 We discuss a new class of Banach spaces which are the generalization of uniformly extremely convex spaces introduced by Wulede and Ha. We prove that the new class of Banach spaces lies strictly between either the classes of k-uniformly rotund spaces and ...
Suyalatu Wulede +2 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
Application of a New Class of Characteristic Function
Journal of Harbin University of Science and Technology, 2021 In Banach space，considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ，the independent variable is t，and the domain is ［0，+ ∞ ) ，and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
doaj +1 more source
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
Projection Methods for a System of Nonlinear Mixed Variational Inequalities in Banach Spaces
Journal of Function Spaces, 2014 The existence and uniqueness of solution for a system of nonlinear mixed variational inequality in Banach spaces is given firstly. A Mann iterative sequences with errors for this system of nonlinear mixed variational inequalities in Banach spaces is ...
Zhong-Bao Wang +2 more
doaj +1 more source
The concept of cone b-Banach space and fixed point theorems
Open Mathematics, 2021 In this article, the concepts of cone b-norm and cone b-Banach space are given. Some new fixed point theorems in cone b-Banach spaces are established. The new results improve some fixed point theorems in cone Banach spaces.
Yang Chen, Zhu Xiaolin
doaj +1 more source
Composition Operators on Some Banach Spaces of Harmonic Mappings
Journal of Function Spaces, 2020 We study the composition operators on Banach spaces of harmonic mappings that extend several well-known Banach spaces of analytic functions on the open unit disk in the complex plane, including the α-Bloch spaces, the growth spaces, the Zygmund space ...
Munirah Aljuaid, Flavia Colonna
doaj +1 more source
Geometric Characterization of Injective Banach Lattices
Mathematics, 2021 This is a continuation of the authors’ previous study of the geometric characterizations of the preduals of injective Banach lattices. We seek the properties of the unit ball of a Banach space which make the space isometric or isomorphic to an injective ...
Anatoly Kusraev, Semën Kutateladze
doaj +1 more source
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