When weak and local measure convergence implies norm convergence

2019 ◽  
Vol 473 (2) ◽  
pp. 1414-1431 ◽  
Author(s):  
A. Bikchentaev ◽  
F. Sukochev
Keyword(s):  
Norm Convergence ◽  
Local Measure

Heritability curves: A local measure of heritability in family models

2020 ◽  
Author(s):  
Geir D. Berentsen ◽  
Francesca Azzolini ◽  
Hans J. Skaug ◽  
Rolv T. Lie ◽  
Håkon K. Gjessing
Keyword(s):  
Local Measure ◽  
Family Models

scholarly journals Evolution of the one-phonon 21,ms+ mixed-symmetry state in N=80 isotones as a local measure for the proton–neutron quadrupole interaction

2009 ◽  
Vol 679 (1) ◽  
pp. 19-24 ◽  
Author(s):  
T. Ahn ◽  
L. Coquard ◽  
N. Pietralla ◽  
G. Rainovski ◽  
A. Costin ◽  
...  
Keyword(s):  
Quadrupole Interaction ◽  
Local Measure ◽  
Mixed Symmetry ◽  
The One

scholarly journals Norm convergence of sectorial operators on varying Hilbert spaces

2013 ◽  
pp. 955-995 ◽  
Author(s):  
Delio Mugnolo ◽  
Robin Nittka ◽  
Olaf Post
Keyword(s):  
Hilbert Spaces ◽  
Norm Convergence ◽  
Sectorial Operators

Hausdorff Measure and Local Measure

1982 ◽  
Vol s2-25 (1) ◽  
pp. 99-114 ◽  
Author(s):  
Roy A. Johnson ◽  
C. A. Rogers
Keyword(s):  
Hausdorff Measure ◽  
Local Measure

WINCHESTER COLLEGE 41 This discrepancy is assumed to be an abatement off the contract price as in 1815 and two entries of 1s. 9 1/2d. have been adjusted to 1s. 91/4d. and 1s. 8d. per bu. respectively. The entry in the first year of the series shows the chal­ dron at this date to be equal to 32 bu. and in 1683 the entry 8 ch. 4 bu. at 1s. 2d. per bu. = £15 17s. 8d. probably involves a 32-bu. chaldron and includes a charge for car­ riage. Calculations involving chaldrons and bushels in 1675, 1681 and 1699 have therefore been based on a 32-bu. chaldron. In all other years during this period, and later, except for coal for the Sickhouse from 1795, purchases are recorded by the bushel. In 1766 288 bu. are stated to be equal to 8 ch. (i.e. the London chaldron of 36 bu.) and in 1791 also the chaldron works out at 36 bu. Chaldron prices for the Sickhouse from 1795, by comparison with other prices per bu., are clearly for 36 bu., and in three years the alternative price per bu. is given at 1/36 of the price per ch. Hence it seems clear that coal was at first sup­ plied by local measure, i.e. by the bushel of 9 gals. with therefore only 32 bu. to a chaldron, and later by London measure—probably from the date when contracts were made with local dealers obtaining coal via Southampton Water, re-shipped from London and therefore by London measure. In tabulating, the 32-bu. chaldron in early years has been accepted as comparable with the later 36–bu. chaldron ; bushel prices up to 1710 have been translated to the chaldron by 32 : 1 and from 1739 by 36 : 1, i.e. the bare London chaldron throughout. The bushel quota­ tions indicate small purchases at a time and it is not deemed appropriate to raise prices by 21 : 20 to the full-pay ch., i.e. to 1/20 of the London score of 21 ch. The annual purchase rose from an average 91/2 ch. at the beginning of the series to about 30 ch. by the end. In addition, the Sickhouse received 1 ch. each year in 1792–94 and generally 2 ch. annually thereafter. The purchase for the Library from 1806 was 36 bu. annually. The quality is never specified. 1394–1657. Gross 264, Net 220. 1714–38. Gross 25, Net 18. 1771–1816. Gross 46, Net 45. These prices are for free purchases until about 1524,

2013 ◽  
pp. 103-103
Keyword(s):  
Early Years ◽  
First Year ◽  
Southampton Water ◽  
Contract Price ◽  
Local Measure ◽  
A Charge

Norm Convergence of Riesz-Bochner Means For Radial Functions

1975 ◽  
Vol 27 (1) ◽  
pp. 176-185 ◽  
Author(s):  
G. V. Welland
Keyword(s):  
Fourier Transform ◽  
Inner Product ◽  
Norm Convergence ◽  
Radial Functions ◽  
Whole Space

It is well known now that certain spherical methods in k (≧2) dimensions are rather poor for reconstructing a function from its Fourier transform. Consider a function f in L1(Rk), k ≧ 2,andwhere both integrals are integrals in Rk, the first over the whole space the second over the ball of radius R; x • y is the usual Euclidean inner product of x and y in Rk and \z\2 = z • z.

Convergence Factors and Compactness in Weighted Convolution Algebras

2002 ◽  
Vol 54 (2) ◽  
pp. 303-323 ◽  
Author(s):  
Fereidoun Ghahramani ◽  
Sandy Grabiner
Keyword(s):  
Banach Algebra ◽  
Compact Operator ◽  
Dual Space ◽  
Weighted Space ◽  
Continuous Functions ◽  
Norm Convergence ◽  
Convergence Factor ◽  
Space Of Continuous Functions ◽  
Related Space ◽  
Convolution Algebras

AbstractWe study convergence in weighted convolution algebras L1(ω) on R+, with the weights chosen such that the corresponding weighted space M(ω) of measures is also a Banach algebra and is the dual space of a natural related space of continuous functions. We determine convergence factor ɳ for which weak*-convergence of {λn} to λ in M(ω) implies norm convergence of λn * f to λ * f in L1(ωɳ). We find necessary and sufficent conditions which depend on ω and f and also find necessary and sufficent conditions for ɳ to be a convergence factor for all L1(ω) and all f in L1(ω). We also give some applications to the structure of weighted convolution algebras. As a preliminary result we observe that ɳ is a convergence factor for ω and f if and only if convolution by f is a compact operator from M(ω) (or L1(ω)) to L1(ωɳ).

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