Antisymmetry and analytic structure in the spectrum of a uniform Fr�chet algebra
Copyright policy )Antisymmetry and analytic structure in the spectrum of a uniform Fr�chet algebra
Let M be a \(C^{\infty}\)-smooth submanifold of a domain \(G\subset C^ n\). Denote by 0(M) the algebra of germs of holomorphic functions on M, that is, each \(f\in 0(M)\) is holomorphic in some neighbourhood of M, the neighbourhood dependent of f. Now define A(M) as the closure of 0(M) with respect to the topology of compact convergence on M. If M coincides with \(\sigma\) A(M), the spectrum of A(M), we give a necessary and sufficient condition for A(M) such that M is a complex manifold.
- DigiZeitschriften Germany
- University of Bayreuth Germany
analytic structure in the spectrum of a uniform Fréchet algebra, reflexivity, Article, antisymmetry, algebra of germs of holomorphic functions, 510.mathematics, Banach algebras of continuous functions, function algebras, General theory of topological algebras, Topological linear spaces of continuous, differentiable or analytic functions, topology of compact convergence, complex manifold
analytic structure in the spectrum of a uniform Fréchet algebra, reflexivity, Article, antisymmetry, algebra of germs of holomorphic functions, 510.mathematics, Banach algebras of continuous functions, function algebras, General theory of topological algebras, Topological linear spaces of continuous, differentiable or analytic functions, topology of compact convergence, complex manifold
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