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Frèchet and (LB)-sequence spaces induced by dual Banach spaces of discrete Cesàro spaces
The research of J. Bonet was partially supported by the projects MTM2016-76647-P and GV Prometeo/2017/102 (Spain).Bonet Solves, JA.; Ricker, WJ. (2021). Frechet and (LB) sequence spaces induced by dual Banach spaces of discrete Cesaro spaces. Bulletin of
Ricker, Werner J. +2 more
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Property ( k) of Orlicz Sequence Spaces
Property ( k) is an important geometric property in Banach spaces,and it is closely associated with fixed point property. By the geometric theory of Banach spaces and Orlicz spaces, we investigated the characterization for property( k) in a special ...
ZUO Ming-xia, PENG Li-na
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Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection.
Wataru Takahashi, Shin-ya Matsushita
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Local rigidity of infinite-dimensional Teichmüller spaces [PDF]
This paper presents a rigidity theorem for infinite-dimensional Bergman spaces of hyperbolic Riemann surfaces, which states that the Bergman space $A^{1}(M)$, for such a Riemann surface $M$, is isomorphic to the Banach space of summable sequence, $l^{1}$.
Fletcher, A. (Alastair)
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This article aims to study the existence of the solutions to the infinite system of Hilfer fractional differential equations in tempered sequence spaces.
Inzamamul Haque +2 more
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On the classes of hereditarily $\ell_p$ Banach spaces [PDF]
summary:Let $X$ denote a specific space of the class of $X_{\alpha ,p}$ Banach sequence spaces which were constructed by Hagler and the first named author as classes of hereditarily $\ell _p$ Banach spaces. We show that for $p>1$ the Banach space $X$
Azimi, P., Ledari, A. A.
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Existence and Uniqueness of Fixed Point for Cyclic Mappings in Quasi-αb-Metric Spaces
The fixed point theory remains the most important and preferred topic studied in mathematical analysis. This study discusses sufficient conditions to prove a unique fixed point in quasi-αb-metric spaces with cyclic mapping. The analysis starts by showing
Ainun Sukmawati Al Idrus +4 more
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The aim of this paper is to introduce and investigate a new class of separable Banach spaces modeled after an example of Garling from 1968.
Ansorena, J.L. [0000-0002-4979-1080] +5 more
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New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.
Ravi P. Agarwal, Donal O'Regan
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M-constants in Orlicz Spaces Equipped with the Luxemburg Norm
Riesz angle μ2(x)is an important geometric constant in Banach lattice spaces, which is closely related to the fixed point properties of spaces. In this paper, the M-constants of Orlicz function spaces and Orlicz sequence spaces equipped with Luxemburg ...
WANG Zi-xuan, CUI Yun-an, WANG Jing
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