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  • 1
    Electronic Resource
    Electronic Resource
    Asymptotic stability of Schrödinger semigroups: path integral methods (1992)
    Springer
    Mathematische Annalen 292 (1992), S. 457-492 
    Details
    ISSN: 1432-1807
    Keywords: 35J10
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01444631
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Absorption semigroups and dirichlet boundary conditions (1993)
    Springer
    Mathematische Annalen 295 (1993), S. 427-448 
    Details
    ISSN: 1432-1807
    Keywords: 47D06 ; 35K05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01444895
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Abelian faces of state spaces ofC*-algebras (1980)
    Springer
    Communications in mathematical physics 75 (1980), S. 43-50 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01962590
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Unbounded derivations of commutativeC*-algebras (1978)
    Springer
    Communications in mathematical physics 61 (1978), S. 261-266 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is shown that an unbounded *-derivation δ of a unital commutativeC*-algebraA is quasi well-behaved if and only if there is a dense open subsetU of the spectrum ofA such that, for anyf in the domain of δ, δ(f) vanishes at any point ofU wheref attains its norm. An example is given to show that even if δ is closed it need not be quasi well-behaved. This answers negatively a question posed by Sakai for arbitraryC*-algebras. It is also shown that there are no-zero closed derivations onA if the spectrum ofA contains a dense open totally disconnected subset.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01940768
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Small perturbations ofC*-dynamical systems (1979)
    Springer
    Communications in mathematical physics 68 (1979), S. 39-43 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract It is shown that if δ is the generator of a strongly continuous oneparameter group of *-automorphisms of aC*-algebraA and δ′ is an unbounded *-derivation ofA with the same domain as δ, then δ+αδ′ is also a generator for all sufficiently small real numbers α.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01562540
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    The strong law of large numbers for states and traces of aW*-algebra (1979)
    Springer
    Probability theory and related fields 48 (1979), S. 177-191 
    Details
    ISSN: 1432-2064
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary Let $$\mathfrak{A}$$ be aW*-algebra with faithful normal stateρ. Several different notions of independence with respect toρ are introduced for operators in $$\mathfrak{A}$$ . A non-commutative extension of the strong law of large numbers is proved. Whenρ is a trace, this theorem is extended to cover unbounded operators associated withA.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01886871
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  • 7
    Electronic Resource
    Electronic Resource
    Generalised Holley-Preston inequalities on measure spaces and their products (1980)
    Springer
    Probability theory and related fields 53 (1980), S. 157-173 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF01013313
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    Paper (German National Licenses)
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