scholarly journals Strong Approximation Property for Baer Orderings on ∗-Fields

1994 ◽  
Vol 165 (1) ◽  
pp. 1-22 ◽  
Author(s):  
K.H. Leung
Keyword(s):  
Strong Approximation ◽  
Approximation Property

scholarly journals History, Developments and Open Problems on Approximation Properties

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1117
Author(s):  
Ju Myung Kim ◽  
Bentuo Zheng
Keyword(s):  
Recent Progress ◽  
Strong Approximation ◽  
Approximation Property ◽  
Approximation Properties ◽  
Open Problems ◽  
Comprehensive Review ◽  
Classical Approximation

In this paper, we give a comprehensive review of the classical approximation property. Then, we present some important results on modern variants, such as the weak bounded approximation property, the strong approximation property and p-approximation property. Most recent progress on E-approximation property and open problems are discussed at the end.

scholarly journals COARSE SPACES BY ALGEBRAIC MULTIGRID: MULTIGRID CONVERGENCE AND UPSCALING ERROR ESTIMATES

2011 ◽  
Vol 03 (01n02) ◽  
pp. 229-249 ◽  
Author(s):  
PANAYOT S. VASSILEVSKI
Keyword(s):  
Strong Approximation ◽  
Approximation Property ◽  
Algebraic Multigrid ◽  
Necessary Condition ◽  
Weak Approximation ◽  
Approximation Properties ◽  
Element Discretization ◽  
Multigrid Convergence ◽  
Grid Convergence ◽  
Algebraic Multigrid Methods

We give an overview of a number of algebraic multigrid methods targeting finite element discretization problems. The focus is on the properties of the constructed hierarchy of coarse spaces that guarantee (two-grid) convergence. In particular, a necessary condition known as "weak approximation property," and a sufficient one, referred to as "strong approximation property," are discussed. Their role in proving convergence of the TG method (as iterative method) and also on the approximation properties of the algebraic mottigrid (AMG) coarse spaces if used as discretization tool is pointed out. Some preliminary numerical results illustrating the latter aspect are also reported.

Quadratic forms and Linkage of Quaternion Algebras

1988 ◽  
Vol 31 (3) ◽  
pp. 301-307
Author(s):  
Vatsala Krishnamani ◽  
Joseph Yucas
Keyword(s):  
Quadratic Forms ◽  
Strong Approximation ◽  
Approximation Property ◽  
Quaternion Algebras ◽  
Torsion Freeness

AbstractA field F satisfies n-linkage on a subset of Ḟ if whenever the quaternion algebrasare equal in Br(F) there exist z ∈ Ḟ withfor i = 1, 2, . . ., n. This linkage of quaternion algebras is examined and its relationship to the torsion freeness of I2(F) and to the strong approximation property is investigated.

scholarly journals Nested Artin strong approximation property

2018 ◽  
Vol 222 (4) ◽  
pp. 818-827
Author(s):  
Zunaira Kosar ◽  
Dorin Popescu
Keyword(s):  
Strong Approximation ◽  
Approximation Property
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