A new method for approximation of closed convex subsets of B(H)

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6005-6013
Author(s):  
Mahdi Iranmanesh ◽  
Fatemeh Soleimany
Keyword(s):  
Best Approximation ◽  
Numerical Range ◽  
New Method ◽  
C Algebra ◽  
Convex Subsets

In this paper we use the concept of numerical range to characterize best approximation points in closed convex subsets of B(H): Finally by using this method we give also a useful characterization of best approximation in closed convex subsets of a C*-algebra A.

The numerical range of functions and best approximation

1974 ◽  
Vol 76 (1) ◽  
pp. 133-141 ◽  
Author(s):  
Lawrence A. Harris
Keyword(s):  
Convex Hull ◽  
Linear Space ◽  
Best Approximation ◽  
Normed Linear Space ◽  
Numerical Range ◽  
Closed Convex Hull ◽  
Compact Spaces ◽  
Range Of Functions ◽  
Function Mapping

In this note, we state general conditions which imply that the numerical range of a function mapping a set S into a normed linear space Y is the closed convex hull of the spatial numerical range of the function. This conclusion is of interest since, for example, it is equivalent to an extension to non-compact spaces of Kolmogoroff's characterization of functions of best approximation.

On a generalization of the Rényi–Srivastava characterization of the Poisson law

2021 ◽  
Vol 58 (1) ◽  
pp. 68-82
Author(s):  
Jean-Renaud Pycke
Keyword(s):  
Life Insurance ◽  
Collective Model ◽  
New Method ◽  
Bell Polynomials ◽  
Explicit Formulas ◽  
Compound Distributions ◽  
Poisson Law ◽  
Pierre Loti

AbstractWe give a new method of proof for a result of D. Pierre-Loti-Viaud and P. Boulongne which can be seen as a generalization of a characterization of Poisson law due to Rényi and Srivastava. We also provide explicit formulas, in terms of Bell polynomials, for the moments of the compound distributions occurring in the extended collective model in non-life insurance.

scholarly journals Spectroscopic characterization of a thermodynamically stable doubly charged diatomic molecule: MgAr2+

2021 ◽  
Author(s):  
Dominik Wehrli ◽  
Matthieu Génévriez ◽  
Frédéric Merkt
Keyword(s):  
High Resolution ◽  
Diatomic Molecule ◽  
Spectroscopic Characterization ◽  
New Method ◽  
High Resolution Spectroscopy ◽  
Singly Charged ◽  
Doubly Charged

We present a new method to study doubly charged molecules relying on high-resolution spectroscopy of the singly charged parent cation, and report on the first spectroscopic characterization of a thermodynamically stable diatomic dication, MgAr2+.

scholarly journals A New Ultrasensitive Bioluminescence-Based Method for Assaying Monoacylglycerol Lipase

2021 ◽  
Vol 22 (11) ◽  
pp. 6148
Author(s):  
Matteo Miceli ◽  
Silvana Casati ◽  
Pietro Allevi ◽  
Silvia Berra ◽  
Roberta Ottria ◽  
...  
Keyword(s):  
Arachidonic Acid ◽  
Kinetic Constants ◽  
New Method ◽  
Monoacylglycerol Lipase ◽  
Enzymatic Cleavage ◽  
Highly Sensitive ◽  
Bioluminescence Assay ◽  
Identification And Characterization ◽  
In Cells

A novel bioluminescent Monoacylglycerol lipase (MAGL) substrate 6-O-arachidonoylluciferin, a D-luciferin derivative, was synthesized, physico-chemically characterized, and used as highly sensitive substrate for MAGL in an assay developed for this purpose. We present here a new method based on the enzymatic cleavage of arachidonic acid with luciferin release using human Monoacylglycerol lipase (hMAGL) followed by its reaction with a chimeric luciferase, PLG2, to produce bioluminescence. Enzymatic cleavage of the new substrate by MAGL was demonstrated, and kinetic constants Km and Vmax were determined. 6-O-arachidonoylluciferin has proved to be a highly sensitive substrate for MAGL. The bioluminescence assay (LOD 90 pM, LOQ 300 pM) is much more sensitive and should suffer fewer biological interferences in cells lysate applications than typical fluorometric methods. The assay was validated for the identification and characterization of MAGL modulators using the well-known MAGL inhibitor JZL184. The use of PLG2 displaying distinct bioluminescence color and kinetics may offer a highly desirable opportunity to extend the range of applications to cell-based assays.

A new method for Characterization of the Surface Energy of Hydrophobic Particles

1987 ◽  
Vol 4 (1-4) ◽  
pp. 7-13 ◽  
Author(s):  
Douglas W. Fuerstenau ◽  
Mark C. Williams
Keyword(s):  
Surface Energy ◽  
New Method ◽  
Hydrophobic Particles

scholarly journals Characterization of LuGdVO3 mixed crystal prepared by one new method

2019 ◽  
Vol 12 ◽  
pp. 335-338 ◽  
Author(s):  
Nianjing Ji ◽  
Yang Chen ◽  
Ziqing Li ◽  
Jiyang Wang ◽  
Xiulan Duan ◽  
...  
Keyword(s):  
Mixed Crystal ◽  
New Method

New method for rapid characterization of molecular shapes: applications in drug design

1993 ◽  
Vol 33 (1) ◽  
pp. 79-85 ◽  
Author(s):  
R. Nilakantan ◽  
N. Bauman ◽  
R. Venkataraghavan
Keyword(s):  
Drug Design ◽  
New Method ◽  
Rapid Characterization

Heteroepitaxy and Characterization of Low-Dislocation-Density GaN on Periodically Grooved Substrates

2000 ◽  
Vol 639 ◽  
Author(s):  
T. Detchprohm ◽  
M. Yano ◽  
R. Nakamura ◽  
S. Sano ◽  
S. Mochiduki ◽  
...  
Keyword(s):  
Dislocation Density ◽  
New Method ◽  
Growth Technique ◽  
New Approach ◽  
Density Area ◽  
Low Dislocation Density ◽  
Dislocation Densities ◽  
Movpe Growth

ABSTRACTWe have developed a new method to prepare low-dislocation-density GaN by using periodically grooved substrates in a conventional MOVPE growth technique. This new approach was demonstrated for GaN grown on periodically grooved α-Al2O3(0001), 6H-SiC(0001)Si and Si(111) substrates. Dislocation densities were 2×107 cm−2 in low-dislocation-density area.

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