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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Integral equations and operator theory 26 (1996), S. 125-135 
    ISSN: 1420-8989
    Keywords: 47A53 ; 47A55
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Given a bounded linear operatorA in an infinite dimensional Banach space and a compact subset Λ of a connected component of its semi-Fredholm domain, we construct a finite rank operatorF such that λ−A+F is bounded below (or surjective) for each λ ∈ Λ,F 2=0 and rankF=maxλ∈Λ min{dimN(λ−A), codimR(λ−A)}, if ind(λ−A)≤0 (or ind(λ−A)≥0, respectively) for each λ∈Λ.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1434-6079
    Keywords: 33.60.Cv ; 33.80.Eh
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The general properties of the Cooper minimum in molecules are reviewed. Experimental results from synchrotron radiation together with theoretical calculations are presented on both the partial cross sections and angular distribution parameters, β. A detailed examination of HCl is used as an example. Previously unpublished results on CCl n H4−n , CCl n F4−n , ethylene dichloride, I2 and ICl are included. The Cooper minimum is largely discussed as a perturbation from atomic behavior, and is examined as a function of atomic number. The Cooper minimum is also examined as a function of chemical environment. Finally, needs for future research are briefly described.
    Type of Medium: Electronic Resource
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