A non-smooth extension of Frechet differentiability of the norm with applications to numerical ranges

Author:

Aparicio C.,Ocaña F.,Payá R.,Rodríguez A.

Abstract

The following result in the theory of numerical ranges in Banach algebras is well known (see [3, Theorem 12.2]). The numerical range of an element F in the bidual of a unital Banach algebra A is the closure of the set of values at F of the w*-continuous states of . As a consequence of the results in this paper the following

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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3. On multiplicatively closed subsets of normed algebras;Journal of Algebra;2010-03

4. Restricted weak upper semicontinuous differentials of convex functions;Bulletin of the Australian Mathematical Society;2001-02

5. Generic continuity of restricted weak upper semi-continuous set-valued mappings;Set-Valued Analysis;1996-03

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