A New Characterization of k-Uniformly Rotund Banach Space
Journal of Function Spaces, 2015 A new characterization of k-uniformly rotund Banach space with ...
Suyalatu Wulede, Tingting Li, Xuan Qin
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Isomorphic Schauder decompositions in certain Banach spaces [PDF]
, 2014 Vitalii Marchenko
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The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
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Weakly compact operators and the strong* topology for a Banach space [PDF]
, 2010 Antonio M. Peralta +3 more
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On certain extremal Banach–Mazur distances and Ader's characterization of distance ellipsoids
Mathematika, Volume 72, Issue 1, January 2026.Abstract A classical consequence of the John Ellipsoid Theorem is the upper bound n$\sqrt {n}$ on the Banach–Mazur distance between the Euclidean ball and any symmetric convex body in Rn$\mathbb {R}^n$. Equality is attained for the parallelotope and the cross‐polytope. While it is known that they are unique with this property for n=2$n=2$ but not for n⩾
Florian Grundbacher, Tomasz Kobos
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This article aims to present a new fixed point (FP) result for interpolative Kannan type and Ćirić‐Reich‐Rus type cyclic contractions (CRRTCCs) in dislocated quasi‐rectangular b‐metric spaces. We go through rigorous steps to prove the existence of a unique FP for the stated mapping in the setting of dislocated quasi‐rectangular b‐metric spaces.
Nigussa L. Bayissa +2 more
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Iterative Methods for Nonconvex Equilibrium Problems in Uniformly Convex and Uniformly Smooth Banach Spaces [PDF]
, 2015 Messaoud Bounkhel
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Existence results for infinite systems of the Hilfer fractional boundary value problems in Banach sequence spaces [PDF]
, 2021 Yousef Gholami
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Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays
Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan +4 more
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A note on the paper of I. Singer "Basic sequences and reflexivity of Banach spaces" [PDF]
, 1962 A. Pełczyński
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