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An Invariance Principle for the Tagged Particle Process in Continuum with Singular Interaction Potential
Diffusion processes interacting continuous particle systems random environment invariance principles
2011/9/1
Abstract: We consider the dynamics of a tagged particle in an infinite particle environment moving according to a stochastic gradient dynamics. For singular interaction potentials this tagged particle...
Under the Continuum Hypothesis all nonreflexive Banach space ultrapowers are primary
Banach space ultrapowers primary Banach spaces Stone-Cech remainder Representation Theorem superreflexivity
2011/8/30
Abstract: In this note a large class of primary Banach spaces is characterized. Namely, it will be demonstrated that under the Continuum Hypothesis the ultrapower of any infinite dimensional nonsuperr...
Some Representation Theorem for nonreflexive Banach space ultrapowers under the Continuum Hypothesis
Banach space ultrapowers Stone-Cech remainder dual space extreme points smooth points complemented subspaces
2011/8/31
Abstract: In this paper it will be shown that assuming the Continuum Hypothesis (CH) every nonreflexive Banach space ultrapower is isometrically isomorphic to the space of continuous, bounded and real...