期刊论文详细信息
Proceedings of the Estonian Academy of Sciences | |
Ford lemma for topological *-algebras | |
Mart Abel1  Mati Abel1  | |
[1] $$ | |
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 | |
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【 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) ⊂ (0,∞) has a self-adjoint square root b with spA(a) ⊂ (0,∞) and spA(h1 + … + hn) ⊂ [0,∞), if spA(hk) ⊂ [0,∞) where hk are self-adjoint elements for each k ∈ {1, …, n}, are described.
【 授权许可】
Unknown
【 预 览 】
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RO201912040510750ZK.pdf | 231KB | ![]() |