Results 61 to 70 of about 120,540 (307)

Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$

open access: yesJournal of New Results in Science
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

On certain sequence spaces II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
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

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

open access: yesMolecular Oncology, EarlyView.
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

Solidity in Sequence Spaces

open access: yesRevista Matemática Complutense, 1991
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

open access: yes, 1993
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

EDNRB‐dependent endothelin signaling reduces proliferation and promotes proneural‐to‐mesenchymal transition in gliomas

open access: yesMolecular Oncology, EarlyView.
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]

open access: yesDemonstratio Mathematica, 1998
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
openaire   +1 more source

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

open access: yes, 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   +1 more
core  

Grand Lebesgue sequence spaces

open access: yes, 2018
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

open access: yesMolecular Oncology, EarlyView.
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

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