Applications of the Riesz Decomposition

1974 ◽  
pp. 129-137
Author(s):  
John Wermer
Keyword(s):  
Riesz Decomposition

scholarly journals RETRACTED ARTICLE: An augmented Riesz decomposition method for sharp estimates of certain boundary value problem

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Jiaofeng Wang ◽  
Bin Huang ◽  
Nanjundan Yamini
Keyword(s):  
Boundary Value Problem ◽  
Lower Bounds ◽  
Harmonic Functions ◽  
Decomposition Method ◽  
Integral Condition ◽  
Boundary Integral ◽  
Sharp Estimates ◽  
Riesz Decomposition ◽  
Retracted Article ◽  
Riesz Decomposition Method

AbstractIn this paper, by using an augmented Riesz decomposition method, we obtain sharp estimates of harmonic functions with certain boundary integral condition, which provide explicit lower bounds of functions harmonic in a cone. The results given here can be used as tools in the study of integral equations.

A converse of the Riesz decomposition theorem for harmonic spaces

1980 ◽  
Vol 173 (2) ◽  
pp. 105-109
Author(s):  
Myron Goldstein ◽  
Wellington H. Ow
Keyword(s):  
Decomposition Theorem ◽  
Riesz Decomposition

scholarly journals The Riesz decomposition of finely superharmonic functions

2007 ◽  
Vol 214 (1) ◽  
pp. 417-436 ◽  
Author(s):  
Stephen J. Gardiner ◽  
Wolfhard Hansen
Keyword(s):  
Superharmonic Functions ◽  
Riesz Decomposition

C* -Algebras of Real Rank Zero Whose K0's are not Riesz Groups

1996 ◽  
Vol 39 (4) ◽  
pp. 429-437 ◽  
Author(s):  
K. R. Goodearl
Keyword(s):  
Real Rank ◽  
Riesz Decomposition Property ◽  
Real Rank Zero ◽  
Decomposition Property ◽  
Rank Zero ◽  
C Algebras ◽  
Finite Dimensional ◽  
Riesz Decomposition ◽  
Stably Finite ◽  
The Riesz Decomposition Property

AbstractExamples are constructed of stably finite, imitai, separable C* -algebras A of real rank zero such that the partially ordered abelian groups K0(A) do not satisfy the Riesz decomposition property. This contrasts with the result of Zhang that projections in C* -algebras of real rank zero satisfy Riesz decomposition. The construction method also produces a stably finite, unital, separable C* -algebra of real rank zero which has the same K-theory as an approximately finite dimensional C*-algebra, but is not itself approximately finite dimensional.

scholarly journals Tempered processes and a Riesz decomposition for some martingales in the limit

1981 ◽  
Vol 22 (1) ◽  
pp. 9-17 ◽  
Author(s):  
Louis H. Blake
Keyword(s):  
Major Objective ◽  
The Past ◽  
Riesz Decomposition

Several papers have appeared in the past few years which have explored the topic of the Riesz decomposition for amarts. Such a decomposition for amarts enjoys several special properties. See [5, p. 208–209]. While it has been proved in [6] that not every martingale in the limit has a Riesz decomposition “in the weakest form assuring uniqueness” it is the major objective of this paper to characterize a class of martingales in the limit which is strictly larger than the class of amarts but enjoys all the properties of the decomposition for amarts.

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