PROJECTIVE LIMIT OF A SEQUENCE OF BANACH FUNCTION ALGEBRAS AS A FRECHET FUNCTION ALGEBRA

Title & Authors
PROJECTIVE LIMIT OF A SEQUENCE OF BANACH FUNCTION ALGEBRAS AS A FRECHET FUNCTION ALGEBRA

Abstract
Let X be a hemicompact space with ($\small{K_{n}}$) as an admissible exhaustion, and for each n $\small{\in}$ N, $\small{A_{n}}$ a Banach function algebra on $\small{K_{n}}$ with respect to $\small{\parallel.\parallel_n}$ such that $\small{A_{n+1}\midK_{n}}$$\small{\subsetA_n}$ and$\small{{\parallel}f{\mid}K_n{\parallel}_n{\leq}{\parallel}f{\parallel}_{n+1}}$ for all f$\small{\in}$$\small{A_{n+1}}$, We consider the subalgebra A
Keywords
Frechet Lipschitz algegra;admissible exhaustion;Lipschitz algebra;Frechet algebra;
Language
English
Cited by
1.
Separating maps on Fréchet algebras, Quaestiones Mathematicae, 2014, 37, 1, 67
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