Results 121 to 130 of about 354 (150)

On the Decomposition of the Riesz Operator and the Expansion of the Riesz Semigroup

Integral Equations and Operator Theory, 2005
For a Riesz operator T on a reflexive Banach space X with nonzero eigenvalues $$\sigma (T)\backslash \{ 0\} = \{ \lambda _i |i \geq 1\} ,$$ denote by E(λ i ; T) the eigen-projection corresponding to an eigenvalue λ
Gen Qi Xu, De-Xing Feng
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Extension Theorems and the Riesz Decomposition Property

Positivity, 2003
This paper is a survey of the contributions by the authors and N.-C. Wong, concerning the following two problems: (a) the Riesz decomposition property for spaces of regular operators; (b) the extension of positive operators. The original results appeared in [\textit{N. Dăneţ}, Proc. Am. Math. Soc. 129, 539--542 (2001; Zbl 0974.47033) and Suppl.
Dăneţ, Nicolae, Dăneţ, Rodica-Mihaela   +1 more
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Riesz decompositions and subtractivity for excessive measures

Potential Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fitzsimmons, P. J., Getoor, R. K.
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Applications of the riesz decomposition

2006
Let V be a function defined on ℝn. When is V a potential, i.e. when can we find a measure µ of compact support such that V = Uµ?
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The Hopf Decomposition in Riesz Spaces

1991
Our goal in the paper is to discuss two extensions of the Hopf ergodic decomposition to Riesz spaces. The article is intended to be an outline of results which we have obtained recently on the topic, although it also contains material that has not been discussed elsewhere.
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On the West Decomposition of Riesz Operators

Bulletin of the London Mathematical Society, 1980
Laurie, Cecelia, Radjavi, Heydar
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The Decomposition of Riesz Operators

Proceedings of the London Mathematical Society, 1966
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15.4. Decomposition of Riesz operators

Journal of Soviet Mathematics, 1984
M. R. F. Smyth, T. T. West
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Decompositions of Riesz space-valued measures on orthomodular posets

1993
The purpose of the paper under review is to present an abstract decomposition theorem for a positive finitely additive function on an orthomodular poset taking its values in a Riesz space. More precisely: let \(L\) be an orthomodular poset, let \((V,\|\cdot\|)\) be a Dedekind complete normed Riesz space with order continuous norm and let \(a(L,V)_ ...
DE LUCIA, PAOLO, A. DVURECENSKIJ
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Decomposition and extension of abstract measures in Riesz spaces

1998
This paper is based on some lectures given during the Workshop of Measure Theory and Real Analysis held at Grado in September 1995. The main aim of the paper is to present a common approach to vector measures and linear operators. For that, the author first studies ``minimal clans'', a common abstraction of Boolean rings and \(\ell\)-groups, and then ...
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