Algebras of holomorphic functions
DOI10.1016/0022-247X(87)90226-5zbMath0659.46046OpenAlexW1999005243MaRDI QIDQ1112296
Publication date: 1987
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-247x(87)90226-5
spectrumenvelope of holomorphyalgebra of holomorphic functions on an open subset of a complex locally convex Hausdorff spaceassociated equable convergence structuresbornological topology associated with the continuous convergence structureconvergence algebrasported topology
Infinite-dimensional holomorphy (46G20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Rings and algebras of continuous, differentiable or analytic functions (46E25) Topological linear spaces and related structures (46A99)
Cites Work
- Limesräume
- A general approach to infinite-dimensional holomorphy
- Complex homomorphisms of the algebras of holomorphic functions on Frechet spaces
- Über den \(c\)-Dual eines topologischen Vektorraumes. (On the \(c\)-dual of a topological vector space)
- Über die \(c\)-Reflexivität von \({\mathcal C}_c(X)\)
- Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
- On Schwartz Convergence Vector Spaces
- On the Convergence Vector Space Σe(E, F) and its Associated Locally Convex Topology
- Convergence tensor products and a strict topology
- Holomorphic functions on fully nuclear spaces
- On a Bornological Structure in Infinite-Dimensional Holomorphy
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