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J. K. Brooks Kazuyuki Saitô JD Maitland Wright 《Rendiconti del Circolo Matematico di Palermo》2003,52(1):5-14
LetA be aC*-algebra with second dualA″. Let (φ
n)(n=1,...) be a sequence in the dual ofA such that limφ
n(a) exists for eacha εA. In general, this does not imply that limφ
n(x) exists for eachx εA″. But if limφ
n(p) exists whenever p is the range projection of a positive self-adjoint element of the unit ball ofA, then it is shown that limφ
n(x) does exist for eachx inA″. This is a non-commutative generalisation of a celebrated theorem of Dieudonné. A new proof of Dieudonné’s theorem, for
positive measures, is given here. The proof of the main result makes use of Dieudonné’s original theorem. 相似文献
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Efforts toward expansion of the genetic alphabet: structure and replication of unnatural base pairs 总被引:2,自引:0,他引:2
Matsuda S Fillo JD Henry AA Rai P Wilkens SJ Dwyer TJ Geierstanger BH Wemmer DE Schultz PG Spraggon G Romesberg FE 《Journal of the American Chemical Society》2007,129(34):10466-10473
Expansion of the genetic alphabet has been a long-time goal of chemical biology. A third DNA base pair that is stable and replicable would have a great number of practical applications and would also lay the foundation for a semisynthetic organism. We have reported that DNA base pairs formed between deoxyribonucleotides with large aromatic, predominantly hydrophobic nucleobase analogues, such as propynylisocarbostyril (dPICS), are stable and efficiently synthesized by DNA polymerases. However, once incorporated into the primer, these analogues inhibit continued primer elongation. More recently, we have found that DNA base pairs formed between nucleobase analogues that have minimal aromatic surface area in addition to little or no hydrogen-bonding potential, such as 3-fluorobenzene (d3FB), are synthesized and extended by DNA polymerases with greatly increased efficiency. Here we show that the rate of synthesis and extension of the self-pair formed between two d3FB analogues is sufficient for in vitro DNA replication. To better understand the origins of efficient replication, we examined the structure of DNA duplexes containing either the d3FB or dPICS self-pairs. We find that the large aromatic rings of dPICS pair in an intercalative manner within duplex DNA, while the d3FB nucleobases interact in an edge-on manner, much closer in structure to natural base pairs. We also synthesized duplexes containing the 5-methyl-substituted derivatives of d3FB (d5Me3FB) paired opposite d3FB or the unsubstituted analogue (dBEN). In all, the data suggest that the structure, electrostatics, and dynamics can all contribute to the extension of unnatural primer termini. The results also help explain the replication properties of many previously examined unnatural base pairs and should help design unnatural base pairs that are better replicated. 相似文献
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The eigen frequencies of radial pulsations of neutron stars are calculated in a strong magnetic field. At low densities we
use the magnetic BPS equation of state (EOS) similar to that obtained by Lai and Shapiro while at high densities the EOS obtained
from the relativistic nuclear mean field theory is taken and extended to include strong magnetic field. It is found that magnetized
neutron stars support higher maximum mass whereas the effect of magnetic field on radial stability for observed neutron star
masses is minimal. 相似文献
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临界电流密度Jc是影响高温超导体在强电领域应用的一个重要参数,在实际应用中,特别在外加磁场下,临界电流密度与超导材料的磁通钉扎性质密切相关.因此,磁通钉扎一直是高温超导体研究中的一个重要领域.由于高温超导体磁通钉扎力密度Fp的标度律存在,本文根据D.Dew-Hughes总结的钉扎力函数,主要存在两种主要作用类型(正常相和△K).我们将D.Dew-HugBes给出的钉扎力密度Fp标度函数改进为一个简化的具有物理意义的函数表达式.结合文献中已有的实验数据,我们对YBcO进行了计算机模拟,确定了它的磁通钉扎类型,模拟的研究结果与实际情况比较吻合. 相似文献
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