Results 81 to 90 of about 4,469,777 (359)

Compact composition operators [PDF]

Journal of the Australian Mathematical Society, 1979
AbstractLet (Хζ,λ) be a σ-finite measure space, and let ϕ be a non-singular measurable transformation from X into itself. Then a composition transformation Cϕ on L2(λ) is defined by Cϕf = f ∘ ϕ. If Cϕ is a bounded operator, then it is called a composition operator.
Ashok Kumar, R.K. Singh
openaire   +1 more source

The epithelial barrier theory proposes a comprehensive explanation for the origins of allergic and other chronic noncommunicable diseases

FEBS Letters, EarlyView.
Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu, Huseyn Babayev, Ismail Ogulur, Sena Ardicli, Yagiz Pat, Duygu Yazici, Bingjie Zhao, Lihong Chang, Xiaoqing Liu, Paolo D'Avino, Manru Li, Ceren Biçer, Fatma Hacer Kurtoğlu Babayev, Raja Dhir, Kari C. Nadeau, Marie‐Charlotte Brüggen, Mubeccel Akdis, Cezmi A. Akdis   +17 more
wiley   +1 more source

Some equivalent metrics for bounded normal operators [PDF]

Mathematica Bohemica, 2018
Some stronger and equivalent metrics are defined on $\mathcal{M}$, the set of all bounded normal operators on a Hilbert space $H$ and then some topological properties of $\mathcal{M}$ are investigated.
Mohammad Reza Jabbarzadeh, Rana Hajipouri   +1 more
doaj   +1 more source

THE EIGENFUNCTIONS OF A CERTAIN COMPOSITION OPERATOR

, 1998
The composition operator on the classical Hardy space H2, induced by a hyperbolic disk automorphism is considered. It is investigated when a H2-function induces under the given operator a minimal invariant cyclic subspace.
Valentin Matache
semanticscholar   +1 more source

On approximation numbers of composition operators

Journal of Approximation Theory, 2012
We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces $\mathfrak{B}_ $ of the unit disk can tend to 0 arbitrarily slowly, but that they never tend quickly to 0: they grow at least exponentially, and this speed of convergence is only obtained for symbols which do not approach the unit circle.
Li, Daniel, Queffélec, Hervé, Rodríguez Piazza, Luis   +2 more
openaire   +4 more sources

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

FEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan, Lu Qi, Pierre Zalloua   +2 more
wiley   +1 more source

Plasma lipidomic and metabolomic profiles in high‐grade glioma patients before and after 72‐h presurgery water‐only fasting

Molecular Oncology, EarlyView.
Presurgery 72‐h fasting in GB patients leads to adaptations of plasma lipids and polar metabolites. Fasting reduces lysophosphatidylcholines and increases free fatty acids, shifts triglycerides toward long‐chain TGs and increases branched‐chain amino acids, alpha aminobutyric acid, and uric acid.
Iris Divé, Lisa Hahnefeld, Katharina J. Wenger, Donat Kögel, Joachim Steinbach, Gerd Geisslinger, Michael W. Ronellenfitsch, Irmgard Tegeder   +7 more
wiley   +1 more source

Targeting the MDM2‐MDM4 interaction interface reveals an otherwise therapeutically active wild‐type p53 in colorectal cancer

Molecular Oncology, EarlyView.
This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini, Giada Mele, Marika Attili, Maria Rita Assenza, Fulvio Saccoccia, Francesca Sardina, Cinzia Rinaldo, Roberto Massari, Nicola Tirelli, Alfredo Pontecorvi, Fabiola Moretti   +10 more
wiley   +1 more source

Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma

Molecular Oncology, EarlyView.
This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu, Jianchao Wang, Fuqing Chen, Xuefeng Wang, Bin Lan, Ruyi Fu, Hong Wen, Fangfang Chen, Wei Hong, Tian‐Yu Tang, Ying He, Gang Chen, Jianyin Zhou, Hai‐Long Piao, Di Chen, Shu‐Yong Lin   +15 more
wiley   +1 more source

Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1

Journal of Function Spaces, 2023
We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
doaj   +1 more source