Results 121 to 130 of about 131,275 (304)

Invariant means on locally compact semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
Let G be a locally compact semigroup (jointly continuous semigroup operation), M(G) the algebra of all bounded regular Borel measures on G (with convolution as multiplication), E a separated locally convex space and S a compact convex subset of E. We show that there is a left invariant mean on the space LUC(G) of all bounded left uniformly continuous ...
openaire   +2 more sources

Generalized Invariant Preferences: Two-parameter Representations of Preferences [PDF]

open access: yes
In this paper, we generalize the model of Quiggin and Chambers (2004) to allow for ambiguity, and derive conditions, referred to as generalized invariance, under which a two argument representation of preferences may be obtained independent of the ...
Robert G. Chambers, John Quiggin
core  

Translation invariant state and its mean entropy-I

open access: yes, 2023
Let $\IM =\otimes_{n \in \IZ}\!M^{(n)}(\IC)$ be the two sided infinite tensor product $C^*$-algebra of $d$ dimensional matrices $\!M^{(n)}(\IC)=\!M_d(\IC)$ over the field of complex numbers $\IC$ and $\omega$ be a translation invariant state of $\IM$. In
Mohari, Anilesh
core  

Patient therapy outcome modeling in cancer organoids is improved by cancer‐associated fibroblasts and organoid assembly convolution

open access: yesMolecular Oncology, EarlyView.
Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski   +12 more
wiley   +1 more source

The Mean Value for Infinite Volume Measures, Infinite Products, and Heuristic Infinite Dimensional Lebesgue Measures

open access: yesJournal of Mathematics, 2017
One of the goals of this article is to describe a setting adapted to the description of means (normalized integrals or invariant means) on an infinite product of measured spaces with infinite measure and of the concentration property on metric measured ...
Jean-Pierre Magnot
doaj   +1 more source

An Invariant Volume-Mean-Value Property

open access: yesJournal of Functional Analysis, 1993
If \(f\) is \({\mathcal M}\)-harmonic in the unit ball \(B_ n\) of \(\mathbb{C}^ n\) [cf. the last author, ``Function theory of the unit ball of \(\mathbb{C}^ n\)'', Springer Verlag, New York - Berlin (1980; Zbl 0495.32001), p. 49] and \(f\in L^ 1(B_ n)\), then \(f\) has the volume-mean-value property, i.e.
Ahern, P., Flores, M., Rudin, W.
openaire   +1 more source

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

open access: yesFEBS 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

Nuclear pore links Fob1‐dependent rDNA damage relocation to lifespan control

open access: yesFEBS Open Bio, EarlyView.
Damaged rDNA accumulates at a specific perinuclear interface that couples nucleolar escape with nuclear envelope association. Nuclear pores at this site help inhibit Fob1‐induced rDNA instability. This spatial organization of damage handling supports a functional link between nuclear architecture, rDNA stability, and replicative lifespan in yeast.
Yamato Okada   +5 more
wiley   +1 more source

C2α‐carbanion‐protonating glutamate discloses tradeoffs between substrate accommodation and reaction rate in actinobacterial 2‐hydroxyacyl‐CoA lyase

open access: yesFEBS Open Bio, EarlyView.
Enzymes of the 2‐hydroxyacyl‐CoA lyase group catalyze the condensation of formyl‐CoA with aldehydes or ketones. Thus, by structural adaptation of active sites, practically any pharmaceutically and industrially important 2‐hydroxyacid could be biotechnologically synthesized. Combining crystal structure analysis, active site mutations and kinetic assays,
Michael Zahn   +4 more
wiley   +1 more source

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

open access: yesFEBS Open Bio, EarlyView.
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

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