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On super weakly compact convex sets and representation of {m swcc}(X)^*
super weakly compact set dual of normed semigroup uniform Fr'echet differetiability representation
2011/10/20
In this note, we give first that a characterization of super weakly compact convex sets of a Banach space X, namely, a sufficient and necessary condition for a closed bounded convex set Ksubset X to b...
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...
We study the representation spaces R(K; i) as appearing in Kronheimer and Mrowka's framed instanton knot Floer homology, for a class of pretzel knots. In particular, for pretzel knots P(p; q; r) with ...
Exactness of the Fock space representation of the q-commutation relations
Exactness Fock space representation q-commutation relations
2010/11/29
We show that for all q in the interval (−1, 1), the Fock repre-sentation of the q-commutation relations can be unitarily embedded into the Fock representation of the extended Cuntz algebra. In p...