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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27976


    Title: Hermitian and positive integrated C-cosine functions on Banach spaces
    Authors: Li,YC;Shaw,SY
    Contributors: 數學研究所
    Keywords: ABSTRACT CAUCHY-PROBLEM;SEMIGROUPS
    Date: 1998
    Issue Date: 2010-06-29 19:39:19 (UTC+8)
    Publisher: 中央大學
    Abstract: Peculiar properties of hermitian and positive n-times integrated C-cosine functions on Banach spaces are investigated. Among them are: (1) Any nondegenerate positive n-times integrated C-cosine function is infinitely differentiable in operator norm; (2) An exponentially bounded, nondegenerate C-cosine function on L-P(mu)(1 < p < infinity) (or L-1(mu), C-0, in case C has dense range) is positive if and only if its generator is bounded, positive, and commutes with C.
    Relation: POSITIVITY
    Appears in Collections:[數學研究所] 期刊論文

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