Results 71 to 80 of about 6,008 (260)
Some analogues of Knopp’s core theorem
Inequalities between certain functionals on the space of bounded real sequences are considered. Such inequalities being analogues of the classical theorem of Knopp on the core of a sequence.
I. J. Maddox
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Operator’s Fuzzy Norm and Some Properties
In this paper, a concept of operator’s fuzzy norm is introduced for the first time in general t-norm setting. Ideas of fuzzy continuous operators, fuzzy bounded linear operators are given with some properties of such operators studied in this general ...
T. Bag, S.K. Samanta
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Spatial biology in cancer epigenetics
Spatial epigenomics combines molecular profiling with tissue architecture to reveal how gene regulation is organized within intact tissues. In cancer, these technologies uncover the mechanisms driving tumor heterogeneity and microenvironmental interactions, opening new opportunities for biomarker discovery and precision medicine.
Eva Crespo‐García, Manel Esteller
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Using Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces.
Bhuia, Sudip Ranjan
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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 +6 more
wiley +1 more source
On the Stability of Self-Adjointness of Linear Relations
This paper focuses on the stability of self-adjointness of linear relations under perturbations in Hilbert spaces. It is shown that a self-adjoint relation is still self-adjoint under bounded and relatively bounded perturbations.
Yan Liu
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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
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Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
Chemotherapy side effects significantly impact cancer survivors' quality of life. Using protein levels in blood samples from breast cancer patients before and after 12 weeks of taxane treatment, we detected treatment‐dependent changes in calcium signaling and aging pathways associated with cancer recurrence.
Saira Munshani +6 more
wiley +1 more source
On Isolated Points of the Spectrum of a Bounded Linear Operator [PDF]
For a bounded linear operator A A on a Banach space we characterize the isolated points in the spectrum of
openaire +3 more sources

