Results 71 to 80 of about 434,525 (329)
Estimates for compositions of maximal operators with singular integrals
We prove weak-type (1,1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator $\Delta^*\Psi$ where $\Delta^*$ is Bourgain's maximal multiplier operator and $\Psi$ is the sum of several ...
Coifman +3 more
core +1 more source
mir‐196a promotes Esophagus Adenocarcinoma aggressiveness. On one hand, mir‐196a targets the valosin‐containing protein (VCP) mRNA, causing the accumulation of c‐MYC protein that leads to high amounts of TERT. On the other hand, mir‐196a targets the inhibitor of NFκB (NFKBIA).
Jesús García‐Castillo +8 more
wiley +1 more source
Polynomials in operator space theory: matrix ordering and algebraic aspects
We extend the $\lambda$-theory of operator spaces given by Defant and Wiesner (2014), that generalizes the notion of the projective, Haagerup and Schur tensor norm for operator spaces to matrix ordered spaces and Banach $*$-algebras. Given matrix regular
Kumar, Ajay +2 more
core +1 more source
For any Banach space E, all Banach algebra norms on L(E) are equivalent to the given operator norm on L(E). The authors characterize when a Banach algebra norm p on L(E) is an operator norm for some (equivalent) norm on E. In particular, p is an operator norm if and only if it is minimal with resepct to the pointwise ordering on norms; this generalizes
Jen-Chung Chuan, Kok-Keong Tan
openaire +2 more sources
Overexpression of CHRDL2 in colon cancer cells makes them more stem‐like and resistant to chemo‐ and radiotherapy. CHRDL2‐high cells have upregulation of the WNT pathway, genes involved in the DNA damage response (DDR) pathway and epithelial‐to‐mesenchymal transition (EMT). This leads to quicker repair of damaged DNA and more cell migration.
Eloise Clarkson, Annabelle Lewis
wiley +1 more source
Norm estimates for operators in norm-attainable C*-algebras
Norm estimates for various types of Banach algebra operators have been studied over decades with interesting results obtained. However, it still remains an open problem to determine the norm of an operator in a general Banach space setting. In this note,
Sabasi Omaoro +2 more
doaj
Operator Norms of Powers of the Volterra Operator
Let \(V: L^2[0,1]\to L^2[0, 1]\) be the Volterra operator defined by \(Vf(x)= \int^x_0 f(t) dt\). In the paper is proved that \(\lim_{m\to\infty} \|m!V^m\|={1\over 2}\). To obtain this, some more general results for the operator \(A: L^2[0,1]\to L^2[0,1]\) defined by \(Af(x)= \int^x_0 a(x- t) f(t) dt\), wehre \(a\) is a nonnegative, nondecreasing \(L^2\
openaire +3 more sources
EMT‐associated bias in the Parsortix® system observed with pancreatic cancer cell lines
The Parsortix® system was tested for CTC enrichment using pancreatic cancer cell lines with different EMT phenotypes. Spike‐in experiments showed lower recovery of mesenchymal‐like cells. This was confirmed with an EMT‐inducible breast cancer cell line.
Nele Vandenbussche +8 more
wiley +1 more source
Norm Estimates for Solutions of Polynomial Operator Equations
We consider the equations ∑k=0mcm-kAkXBk=C and ∑k=0mcm-kAkXBm-k=C, where ck∈C (k=1,…,m), c0=1, A,B,C are given linear bounded operators in a Banach space and X is to be found. Representations of solutions are derived.
Michael Gil’
doaj +1 more source
Norm inequalities in operator ideals
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openaire +4 more sources

