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Ford lemma for topological *-algebras; pp. 69–80

PDF | doi: 10.3176/proc.2011.2.01

Authors

Mart Abel, Mati Abel

Abstract

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_A(a) ⊂ (0,∞) has a self-adjoint square root b with sp_A(a) ⊂ (0,∞) and sp_A(h₁ + … + h_n) ⊂ [0,∞), if sp_A(h_k) ⊂ [0,∞) where h_k are self-adjoint elements for each k ∈ {1, …, n}, are described.

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