Results 101 to 110 of about 25,259 (306)

Operator-Norm Approximation of Semigroups by Quasi-sectorial Contractions

, 2001
We extend the Chernoff theory of approximation of contraction semigroups à la Trotter. We show that the Trotter–Neveu–Kato convergence theorem holds in operator norm for a family of uniformly m-sectorial generators in a Hilbert space.
Zagrebnov, Valentin A., Cachia, Vincent
core   +1 more source

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

Automated FRAP microscopy for high‐throughput analysis of protein dynamics in chromatin organization and transcription

FEBS Open Bio, EarlyView.
RoboMic is an automated confocal microscopy pipeline for high‐throughput functional imaging in living cells. Demonstrated with fluorescence recovery after photobleaching (FRAP), it integrates AI‐driven nuclear segmentation, ROI selection, bleaching, and analysis.
Selçuk Yavuz, Bart Geverts, Johan A. Slotman, Andrea Sacchetti, Stefan Prekovic, Martin E. van Royen, Adriaan B. Houtsmuller   +6 more
wiley   +1 more source

Sharp estimates for the Ornstein-Uhlenbeck operator

, 2006
Let L be the Ornstein-Uhlenbeck operator which is self-adjoint with respect to the Gauss measure γ on Rd. We prove a sharp estimate of the operator norm of the imaginary powers of L on Lp(γ),
Sjögren, Peter,, Meda, Stefano,, Mauceri, Giancarlo,   +2 more
core   +1 more source

On the norm attainment set of a bounded linear operator

, 2017
In this paper we explore the properties of a bounded linear operator defined on a Banach space, in light of operator norm attainment. Using Birkhoff-James orthogonality techniques, we give a necessary condition for a nonzero bounded linear operator to ...
Sain, Debmalya
core   +1 more source

Operator Theory by Example [PDF]

, 2023
When it comes to teaching mathematics, it quickly becomes apparent that pedagogical and didactic interests are never perfectly aligned. The quality of a textbook therefore depends on how well the authors manage to reconcile these conflicting interests ...
Morneau-Guérin, Frédéric
core  

More power vector bounds for operator pairs in Hilbert spaces with applications

Journal of Inequalities and Applications
This paper investigates power vector inequalities for bounded linear operator pairs ( B , C ) $(B,C)$ in a Hilbert space H $\mathcal{H}$ . By leveraging vector inequalities derived by the second author for inner products and norms, we establish various ...
Najla Altwaijry, Silvestru Sever Dragomir, Kais Feki   +2 more
doaj   +1 more source

Multiplication Operators between Lipschitz-Type Spaces on a Tree

International Journal of Mathematics and Mathematical Sciences, 2011
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, Flavia Colonna, Glenn R. Easley   +2 more
doaj   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

KARAKTERISTIK OPERATOR PENGALI SEBAGAI PEMBANGUN NORM PADA RUANG ORLICZ [PDF]

, 2013
Ruang Orlicz merupakan perluasan dari ruang , yang diperkenalkan oleh Z.W Rirnbaum dan W. Orlicz pada tahun 1931. Diketahui bahwa ruang Orlicz merupakan salah satu dari ruang Banach.
Rukmana, Indra
core