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  • 1980-1984  (3)
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Year
  • 1
    Electronic Resource
    Electronic Resource
    [s.l.] : Nature Publishing Group
    Nature 295 (1982), S. 457-457 
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] MUONIUM is the name given to the simple atomic state consisting of a positively charged muon and an electron. For atomic and chemical purposes it is aptly described as a light isotope of hydrogen with only about one-ninth the hydrogen mass. However the properties of its 'nucleus' make muonium both ...
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Communications in mathematical physics 75 (1980), S. 43-50 
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract LetF be a closed face of the weak* compact convex state space of a unitalC*-algebraA. The class ofF-abelian states, introduced earlier by the author, is studied further. It is shown (without any restriction onA orF) thatF is a Choquet simplex if and only if every state inF isF-abelian, and that it is sufficient for this that every pure state inF isF-abelian. As a corollary, it is deduced that an arbitraryC*-dynamical system (A, G, α) isG-abelian if and only if every ergodic state is weakly clustering. Nevertheless the set of allF-abelian (or evenG-abelian) states is not necessarily weak* compact.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Probability theory and related fields 53 (1980), S. 157-173 
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary It is shown that if (X, ℱ μ) is a product of totally ordered measure spaces andf j (j=1,2,3,4) are measurable non-negative functions onX satisfyingf 1(x)f2(y)≦f3(x∨y)f4(x∧y), where (∨, ∧) are the lattice operations onX, then (∫f 1 dμ)(∫f 2 dμ)≦(∫f 3 dμ)(∫f 4 dμ). This generalises results of Ahlswede and Daykin (for counting measure on finite sets) and Preston (for special choices off j).
    Type of Medium: Electronic Resource
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