A remark on a complementarity problem in Banach space
نویسندگان
چکیده
منابع مشابه
A Remark on a Complementarity Problem in Banach Space
We give a modified proof of the theorem given in an earlier paper of the author (1994).
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Let X be a complex Banach space and let J : X → X∗ be a duality section on X (i.e. 〈x, J(x)〉 = ‖J(x)‖‖x‖ = ‖J(x)‖2 = ‖x‖2). For any unit vector x and any (C0) contraction semigroup T = {e tA : t ≥ 0}, Goldstein proved that if X is a Hilbert space and if |〈T (t)x, J(x)〉| → 1 as t → ∞, then x is an eigenvector of A corresponding to a purely imaginary eigenvalue. In this article, we prove the simi...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 2004
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s104895330430701x