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
URL:
http://dx.doi.org/10.1023/A:1009724402831
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