On various Riesz-dual sequences for Schauder frames [PDF]
Heliyon, 2020 In this paper, we introduce various definitions of R-duals, to be called R-duals of type I, II, which leads to a generalization of the duality principle in Banach spaces.
Ali Reza Neisi, Mohammad Sadegh Asgari
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Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space [PDF]
Abstract and Applied Analysis, 2010 We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts.
M. Mursaleen +2 more
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On a Characterization of Convergence in Banach Spaces with a Schauder Basis [PDF]
International Journal of Mathematics and Mathematical Sciences, 2021 “The method in the present paper is abstract and is phrased in terms of Banach spaces, linear operators, and so on. This has the advantage of greater simplicity in proof and greater generality in applications.” Jacob T ...
Marat V. Markin, Olivia B. Soghomonian
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Metacognition and Cognitive Flexibility in Autistic and Neurotypically-Developing Populations. [PDF]
Brain BehavASD individuals can have superior metacognition in the tasks that rely on visuo‐spatial cognition. Cognitive flexibility is diminished by overconfidence, not by metacognitive deficit. ABSTRACT Purpose Whether and how metacognition is altered in individuals with autistic spectrum disorder (ASD) is intensely debated.
Ordin M +4 more
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On Schauder Bases Properties of Multiply Generated Gabor Systems [PDF]
Rocky Mountain Journal of Mathematics, 2015 Let $A$ be a finite subset of $L^2(\mathbb{R})$ and $p,q\in\mathbb{N}$. We characterize the Schauder basis properties in $L^2(\mathbb{R})$ of the Gabor system $$G(1,p/q,A)=\{e^{2\pi i m x}g(x-np/q) : m,n\in \mathbb{Z}, g\in A\},$$ with a specific ...
Nielsen, Morten
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Functional and Structural Analysis Reveals Distinct Biological Roles of Plant Synaptotagmins in Response to Environmental Stress. [PDF]
Plant Cell EnvironABSTRACT Endoplasmic reticulum–plasma membrane contact sites (ER–PM CSs) are evolutionarily conserved membrane domains found in all eukaryotes, where the ER closely interfaces with the PM. This short distance is achieved in plants through the action of tether proteins such as synaptotagmins (SYTs).
García-Hernández S +11 more
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Autistic Traits and Emotion Dysregulation in 5-11-Year-Old Intellectually Able Children With Autism Spectrum Condition: Mediating Role of Emotion Regulation Strategies. [PDF]
Autism ResABSTRACT Emotion dysregulation (ED) is common among children with an autism spectrum condition (ASC). However, the mechanisms underlying emotion regulation strategies (ERSs) and their impacts on ED in this population remain unclear. The current study examined whether ED is directly related to autistic traits or mediated by deficits in ERSs after ...
Lu HH, Nandy A, Ni HC.
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On some binomial B ( m ) $B^{(m)}$ -difference sequence spaces [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we introduce the binomial sequence spaces b 0 a , b ( B ( m ) ) $b^{a,b}_{0}(B^{(m)})$ , b c a , b ( B ( m ) ) $b^{a,b}_{c}(B^{(m)})$ and b ∞ a , b ( B ( m ) ) $b^{a,b}_{\infty}(B^{(m)})$ by combining the binomial transformation and ...
Jian Meng, Meimei Song
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Some normed binomial difference sequence spaces related to the ℓ p $\ell_{p}$ spaces [PDF]
Journal of Inequalities and Applications, 2017 The aim of this paper is to introduce the normed binomial sequence spaces b p r , s ( ∇ ) $b^{r,s}_{p}(\nabla)$ by combining the binomial transformation and difference operator, where 1 ≤ p ≤ ∞ $1\leq p\leq\infty$ .
Meimei Song, Jian Meng
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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]
Journal of Inequalities and Applications, 2018 The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
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