Ford lemma for topological *-algebras

Proceedings of the Estonian Academy of Sciences

Mart Abel¹  Mati Abel¹ 

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

DOI  :  10.3176/proc.2011.2.01

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 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 spA(a) âŠ‚ (0,∞) has a self-adjoint square root b with spA(a) âŠ‚ (0,∞) and spA(h1 + â€¦ + hn) âŠ‚ [0,∞), if spA(hk) âŠ‚ [0,∞) where hk are self-adjoint elements for each k âˆˆ {1, â€¦, n}, are described.

【 授权许可】

Unknown