Results 31 to 40 of about 4,637,247 (289)
On Λ-Type Duality of Frames in Banach Spaces
International Journal of Analysis and Applications, 2013 Frames are redundant system which are useful in the reconstruction of certain classes of spaces. The dual of a frame (Hilbert) always exists and can be obtained in a natural way.
Renu Chugh, Mukesh Singh, L. K. Vashisht
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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
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A New Class of Banach Spaces and Its Relation with Some Geometric Properties of Banach Spaces
Abstract and Applied Analysis, 2012 By introducing the concept of L-limited sets and then L-limited Banach spaces, we obtain some characterizations of it with respect to some well-known geometric properties of Banach spaces, such as Grothendieck property, Gelfand-Phillips property, and ...
M. Salimi, S. M. Moshtaghioun
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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
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Convolution Algebraic Structures Defined by Hardy-Type Operators
Journal of Function Spaces and Applications, 2013 The main aim of this paper is to show that certain Banach spaces, defined via integral kernel operators, are Banach modules (with respect to some known Banach algebras and convolution products on ℝ+).
Pedro J. Miana +2 more
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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
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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
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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
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Smoothness in Musielak-Orlicz Function Spaces Equipped with p-Amemiya Norm
Journal of Harbin University of Science and TechnologyThe smoothness of Banach spaces is one of the important research content in the geometric theory of Banach spaces, which is closely related to the convexity of Banach spaces and the differentiability of norms.
XU Anqi, CUI Yunan
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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
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