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Functional Sequence in Norm Space
Formalized Mathematics, 2020 Summary In this article, we formalize in Mizar [1], [2] functional sequences and basic operations on functional sequences in norm space based on [5]. In the first section, we define functional sequence in norm space. In the second section, we define pointwise convergence and prove some related theorems.
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On sequence space representations of Hörmander–Beurling spaces
Journal of Mathematical Analysis and Applications, 2008 [EN] It is shown that B-p'.1/(k) over bar(loc) (Omega) is isomorphic to (B-p,k(c) (Omega))(b)' (Omega open set in R-n, 1
Motos, Joaquín, Planells, María Jesús
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Liver organoids: modelling complexity in homeostasis and disease
FEBS Letters, EarlyView.Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
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On vector-valued sequence spaces [PDF]
, 1994 In this paper we investigate the topological properties of vector valued sequence spaces. After an introduction of normal Banach sequence spaces λ we consider the vector valued sequence spaces $λ (E),E$ a locally convex Hausdorff space and we prove some ...
Frerick, L.
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Optimal recovery of operators in sequence spaces
Researches in MathematicsIn this paper we solve the problem of optimal recovery of the operator $A_\alpha x= (\alpha_1x_1,\alpha_2x_2,\ldots)$ on the class $W^T_q = \{(t_1h_1,t_2h_2,\ldots)\,:\,\|h\|_{\ell_q}\le 1\}$, where $1\le q < \infty$ and $t_1\ge t_2\ge \ldots \ge 0$, and
V.F. Babenko +2 more
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Epigenetic reprogramming of lineage switching in cancer
FEBS Letters, EarlyView.Cancer cells rarely commit to a single identity. Epigenetic mechanisms and tumor microenvironment cues push epithelial cells toward flexible, hybrid states that can shift into mesenchymal, neuroendocrine, or stem‐like fates, driving metastasis, drug resistance, and tumor heterogeneity. Targeting the epigenetic regulators behind these transitions, using
Ezgi Boyvatlı +4 more
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On Some New Normed Narayana Sequence Spaces
Journal of New TheoryIn this paper, we first establish the regular matrix $N$ using Narayana numbers. Then, we create new normed sequence spaces $Z(N)$ using the matrix $ N$ and demonstrate that these spaces are linearly isomorphic to $Z$ where $Z\in\{c_0, c, \ell_p, \ell_ ...
Hacer Bilgin Ellidokuzoğlu
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Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
FEBS Letters, EarlyView.Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
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Some New Hilbert Sequence Spaces [PDF]
, 2016 msufbdThe main purpose of the present paper is to study of some new Hilbert sequence spaces , and . New Hilbert sequence spaces , and consisting all the sequences whose - transforms are in the spaces , and , respectively.
Polat, Harun
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Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$
Journal of New Results in ScienceThe concept of non-compactness measure is extremely beneficial for functional analysis in theories, such as fixed point and operator equations. Apart from these, the Hausdorff measure of non-compactness also has some applications in the theory of ...
Sezer Erdem
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