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  • positive C-cosine function  (1)
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    Springer
    Positivity 2 (1998), S. 281-299 
    ISSN: 1572-9281
    Keywords: n-times integrated C-cosine function ; hermitian C-cosine function ; positive C-cosine function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Peculiar properties of hermitian and positive n-times integrated C-cosine functions on Banach spaces are investigated. Among them are: (1) Any nondegenerate positiven -times integrated C-cosine function is infinitely differentiable in operator norm; (2) An exponentially bounded, nondegenerateC -cosine function on L p (μ) (1〈p〈∞) (orL 1(μ), C0 , in case C has dense range) is positive if and only if its generator is bounded, positive, and commutes with C.
    Type of Medium: Electronic Resource
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