Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri +5 more
wiley +1 more source
Finding a heaviest vertex-weighted triangle is not harder than matrix multiplication [PDF]
We show that a maximum-weight triangle in an undirected graph with n vertices and real weights assigned to vertices can be found in time O(n(omega) + n(2+o(1))), where omega is the exponent of the fastest matrix multiplication algorithm. By the currently
Lingas, Andrzej, +4 more
core +1 more source
Chaotic roots of the modular multiplication dynamical system in Shor's algorithm
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplication operator. This exact periodicity is the hallmark of an integrable system,
Abu Musa Patoary +3 more
doaj +1 more source
On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces
A bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted ...
Karim Hedayatian, Lotfollah Karimi
doaj +1 more source
On the reduced minimum modulus of multiplication operators [PDF]
In this paper, we investigate the properties of the reduced minimum modulus in the context of Banach spaces. Given a Banach space $X$, we denote the algebra of bounded operators on $X$ as $B(X)$. Our primary focus is on examining the relationship between
Hamid Rezaei
doaj +1 more source
On the compactness and the essential norm of operators defined by infinite tridiagonal matrices
In this article, all sequences u{\boldsymbol{u}}, v{\boldsymbol{v}}, and w{\boldsymbol{w}} that define continuous and compact tridiagonal operators Tu,v,w{T}_{u,v,w} acting on the weighted sequence space lβ2{l}_{\beta }^{2} were characterized ...
Caicedo Alexander +2 more
doaj +1 more source
‘Guide and Prejudice’— How Argonautes recognize targets across domains of life
Argonaute proteins use short nucleic‐acid guides to locate and regulate specific targets across all domains of life. Despite striking diversity—from human gene silencing to bacterial immune defence—all Argonautes share a conserved three‐stage recognition logic: guide‐directed sampling, progressive target pairing with a conformational checkpoint and ...
Jack P. K. Bravo
wiley +1 more source
Multiplication operators on operator algebras
The aim of this thesis is to study multiplication and elementary operators on operator algebras. This thesis consists of three chapters. In the first chapter, we study multiplication and elementary operators on the algebra of adjointable operators on ...
Μαγιάτης, Χαράλαμπος +1 more
core +1 more source
Multiplication and Toeplitz Operators on the Generalized Derivative Hardy Space
In this paper, we propose the generalized derivative Hardy space S-alpha,beta(2)(D) which consists of functions whose derivatives are in the Hardy and Bergman spaces.
이종락, 고응일
core +1 more source
Multiplication Operators between Lipschitz-Type Spaces on a Tree
Let ℒ be the space of complex-valued functions 𝑓 on the set of vertices 𝑇 of an infinite tree rooted at 𝑜 such that the difference of the values of 𝑓 at neighboring vertices remains bounded throughout the tree, and let ℒ𝐰 be the set of functions 𝑓∈ℒ such
Robert F. Allen +2 more
doaj +1 more source

