Results 31 to 40 of about 2,731,359 (291)

On X-valued sequence spaces

International Journal of Mathematics and Mathematical Sciences, 1997
Certain spaces of X-valued sequences are introduced and some of their properties are investigated. Köthe- Toeplitz duals of these spaces are examined.
S. Pehlivan
doaj   +1 more source

Delay Differential Equations in Sequence Spaces

Communications in Advanced Mathematical Sciences, 2019
The standard  delay equations are newly studied in the context of classical separable Banach Sequence Spaces.  As a classical solution is shown to exist, the associated semigroup and its infinitesimal generator are found, and some important properties of
Luis Gerardo Mármol, Carmen Judith Vanegas   +1 more
doaj   +1 more source

Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]

, 2002
For a Banach space $\mathfrak{X}$, let $\mathcal{B}(\mathfrak{X})$ denote the Banach algebra of all continuous linear operators on $\mathfrak{X}$. First, we study the lattice of closed ideals in $\mathcal{B}(\mathfrak{J}_p)$, where $1 < p < \infty$ and $\
Laustsen, Niels Jakob, Laustsen, Niels J.   +1 more
core   +4 more sources

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

FEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes, Jan Brysch, Carmen Gelze, Lilli Meier, Daniel Kümmel   +4 more
wiley   +1 more source

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal

Journal of Function Spaces, 2022
In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v,k=0,1,2,⋯, where l=lk is a sequence of Leonardo numbers.
Taja Yaying, Bipan Hazarika, O. M. Kalthum S. K. Mohamed, Awad A. Bakery   +3 more
doaj   +1 more source

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

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, Mohyeddine Omrane, Nassima Benzoubir, Didier Samuel, Ama Gassama‐Diagne   +4 more
wiley   +1 more source

The continuity of superposition operators on some sequence spaces defined by moduli [PDF]

, 2007
summary:Let $\lambda $ and $\mu $ be solid sequence spaces. For a sequence of modulus functions $\Phi =(\varphi _{k})$ let $ \lambda (\Phi )= \lbrace x=(x_{k}) \: (\varphi _{k}(|x_{k}|))\in \lambda \rbrace $. Given another sequence of modulus functions $
Kolk, Enno, Raidjõe, Annemai
core   +1 more source

The Polya algorithm in sequence spaces

Journal of Approximation Theory, 2005
Let \(K\) be a finite-dimensional linear subspace of the sequence space \({l_1}\). Let \({h\in l_p}\) and \({h\notin K}\). Let \(h_p\) denote the best \(l_p\)-approximation of \(h\) from \(K\). It is well known that \(h_p\) exists and is unique. In general, the unicity of the best uniform approximation of \(h\) is not guarantied.
José M. Quesada, J. Fernández-Ochoa, Juan Martínez-Moreno, Jorge Bustamante   +3 more
openaire   +2 more sources

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, Shinya Sugimoto, Toshiro Sato   +2 more
wiley   +1 more source