DIOPHANTINE APPROXIMATION IN BANACH SPACES ´ LIOR FISHMAN, DAVID SIMMONS, AND MARIUSZ URBANSKI
to appear in J. Th´eor. Nombres Bordeaux http://arxiv.org/abs/1302.2275 Abstract. In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions. Moreover, we discuss Dirichlet-type theorems in a very general framework and define what it means for such a theorem to be optimal. We show that optimality is implied by but does not imply the existence of badly approximable points.
T. L. GILL, S. BASU, W. W. ZACHARY, AND V. STEADMAN. Abstract. In this paper we show that a result of Gross and Kuelbs, used to study Gaussian measures on Banach spaces, makes it possible to construct an adjoint for operators on separable Banach spac
Super weakly compact subsets of Banach spaces. Qing-Jin Cheng. Xiamen University, China. Abstract: We introduce a concept of super weak compactness for a bounded weak closed subset in Banach spaces. The class of super weakly compact sets in Banach sp
Expressing our opinions about the morality of certain acts is a key means of advertising our cooperative dispositions. Here, we investigated how subtle cues of.
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Complexified Gravity in Noncommutative Spaces. Ali H. Chamseddine. Center for Advanced Mathematical Sciences (CAMS) and Physics Department, American University of Beirut,. Lebanon. Received: 1 June 2000 / Accepted: 27 November 2000. Abstract: The pre
On the standard account of knowledge-wh, wh-clauses that occur as the complements of verbs that take ... blue swans' does not express the proposition that there is a world in which there are blue swans. ...... âSuccess and Knowledge Howâ, America
In dental fear, there is reason to think that this second type of error isn't operative, since patients' remarks, despite being erroneous about pain, end up fitting well with our commonsense understanding of the situation. Still, the possibility of m
(29) [CP na- [IP 0 [VP V ]]]. This analysis of the Blackfoot epistemic modal is reminiscent of English conditionals, which can be alternatively be realized with an ...
where the sum is taken over all integers i,j, satisfying 1 < i < j < r. Let. S = { x: I[x[[ = 1} be the unit sphere of X. Martelli and Busenberg [8] use inequalities in ...