Results 41 to 50 of about 61,084 (264)
The Duals of Harmonic Bergman Spaces [PDF]
Proceedings of the American Mathematical Society, 1990 In this paper we show that for Ω \Omega
Coffman, Charles V., Cohen, Jonathan
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Inequivalent representations of the dual space
Revista de la Unión Matemática Argentina, 2022 This is an error-ridden paper trying to develop a new (``inequivalent'') representation of the dual of \(C[0,1]\). The idea is to look at functionals of the form \(f\mapsto c_u \langle f,u \rangle\), where \(u\in C[0,1]\), the scalar product is the traditional inner product of \(L_2[0,1]\) and \(c_u\) is a constant; the authors choose \(c_u= \|u\|_ ...
Mupassiri, Douglas +2 more
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FEBS Letters, EarlyView.Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai +4 more
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Regularity of fuzzy convergence spaces
Open Mathematics, 2018 (Fuzzy) convergence spaces are extensions of (fuzzy) topological spaces. ⊤-convergence spaces are one of important fuzzy convergence spaces. In this paper, we present an extending dual Fischer diagonal condition, and making use of this we discuss a ...
Li Lingqiang, Jin Qiu, Yao Bingxue
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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FEBS Letters, EarlyView.Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
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The Köthe Dual of an Abstract Banach Lattice
Journal of Function Spaces and Applications, 2013 We analyze a suitable definition of Köthe dual for spaces of integrable functions with respect to vector measures defined on δ-rings. This family represents a broad class of Banach lattices, and nowadays it seems to be the biggest class of spaces ...
E. Jiménez Fernández +2 more
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Observations on the Separable Quotient Problem for Banach Spaces
Axioms, 2020 The longstanding Banach−Mazur separable quotient problem asks whether every infinite-dimensional Banach space has a quotient (Banach) space that is both infinite-dimensional and separable.
Sidney A. Morris, David T. Yost
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Journal of Mathematics, 2022 Most recently, the generalized difference operator Δi3 of order three was defined and its domain in Hahn sequence space h was calculated. In this paper, the spaces ℓ1Δi3 and bvΔi3 are introduced as the domain of generalized difference operator Δi3 of ...
Orhan Tuğ
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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