Results 61 to 70 of about 120,540 (307)
Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$
The 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
doaj +1 more source
In this paper we define the space co(Δ)={x=(xk)/xk−kk−1→0(k→∞),xo=0,xk∈ℂ} and compute its duals (Continuous dual, β-dual and N-dual) The aim of this paper is to give same results about matrix mapping of co(Δ) into other sequence spaces including the ...
Hüsnü Kizmaz
doaj +1 more source
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
Bekanntlich heißt ein Raum \(E\) von komplexwertigen Folgen \(x=(x_ n)\) solid, wenn gilt: \(x\in E\;\&\;| y_ n|\leq| x_ n|\), \((n\in\mathbb{N})\Rightarrow y\in E\). Diese Eigenschaft läßt sich auf vektorwertige Folgenräume in verschiedene Richtungen verallgemeinern. Für einen normierten Raum \(X\) bezeichne \(s(X)\) den Raum aller Folgen \(x=(x_ n)\)
openaire +3 more sources
Köthe dual of Banach sequence spaces $\ell_p[X]$ $(1\le p<\infty)$ and Grothendieck space
summary:In this paper, we show the representation of Köthe dual of Banach sequence spaces $\ell _p[X]$ $(1\leq p< \infty )$ and give a characterization of that the spaces $\ell _p[X]$ $(1< p< \infty )$ are Grothendieck ...
Bu, Qing Ying, Bu, Qingying, Wu, Congxin
core +1 more source
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
wiley +1 more source
DIFFERENCE SEQUENCE SPACES DEFINED BY A SEQUENCE OF MODULI [PDF]
There are four theorems in this paper. Let \(F=(f_k)\) be a sequence of moduli. Let \(c_0(F)\) be the set of all sequences \((x_k)\) such that \((f_k(|x_k|))\) belongs to \(c_0\). In place of \(c_0\) if \(\ell_\infty\) is taken \(\ell_\infty(F)\) is obtained.
Gaur, A. K., Mursaleen
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Maximal ideals in the algebra of operators on certain Banach spaces. [PDF]
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 +1 more
core
Grand Lebesgue sequence spaces
We introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others.
Stefan Samko +2 more
core +1 more source
Interrogating the immune landscape of microsatellite stable RAS‐mutated colon cancer
COLOSSUS project RAS‐mutated MSS colon cancer study explored transcriptomics and immune cell density by immunohistochemistry (IHC), Immunoscore (IS), ISIC/TuLIS scores, mutation counts, and detected different prevalences but similar microenvironment composition across immune markers with clinical relevance for future immunotherapy combination ...
Rodrigo Dienstmann +61 more
wiley +1 more source

