Ford Lemma for Topological *-algebras

Mart Abel ； Mati Abel

《Proceedings of the Estonian Academy of Sciences》 60卷2期 (2011/06) Pp. 69-80

並列摘要

Several analogies of Ford lemma for topological algebras (in particular, for topological *-algebras) are proved (without using projective limits). Topological *-algebras, in which a self-adjoint element a with sp(subscript A)(a)  (0;∞) has a self-adjoint square root b with sp(subscript A)(a)  (0;∞) and spA(h1 +...+ hn)  [0, ∞), if sp(subscript A) (hk)  [0;∞) where hk are self-adjoint elements for each ∈ {1,...,n}, are described.

並列關鍵字

advertive algebras ； Ford lemma ； Gelfand-Mazur algebras ； locally pseudoconvex algebras ； simplicial algebras ； square root of an element ； topological *-algebras