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ON A THEOREM OF BERNSTEIN AND ITS APPLICATIONS TO WEIGHTED MINIMAXSERIES
Approximation theory polynomials Bernstein theorem minimax series
2007/12/12
In this paper, some results about approximation in a norm $S$ induced by
the minimax series are studied. Then a Bernstein-type theorem for the
norm $S$ is established. Finally the Bernstein theorem ...
Steprans provided a characterization of betaN\N in the aleph_2-Cohen model that is much in the spirit of Parovicenko's characterization of this space under CH. A variety of the topological results est...
A Stone's Representation Theorem and Some Applications
Boolean ring Boolean space Stone space Stone representation bounded finitely additive set function countably additive set function convergence of sequences of measures weak topology
2010/3/3
In this paper, we prove the following form of Stone's representation theorem: Let \sum be a s-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} f...
LINEAR TOPOLOGIC INVARIANTS AND THEIR APPLICATIONS TO ISOMORPHIC CLASSIFICATION OF GENERALIZED POWER SPACES
LINEAR TOPOLOGIC INVARIANTS ISOMORPHIC CLASSIFICATION GENERALIZED POWER SPACES
2010/3/17
In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is rea...