Characterization of nuclear Fréchet spaces in which every bounded set is polar

DOI10.24033/bsmf.2000zbMath0556.46003OpenAlexW2585458327MaRDI QIDQ3219292

Dietmar Vogt, Reinhold Meise, Seán Dineen

Publication date: 1984

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1984__112__41_0

zbMATH Keywords

Fréchet spacesupper semicontinuous functioncontrol setsplurisubharmonicPolar setsFréchet nuclear spaces with the approximation property

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Pluriharmonic and plurisubharmonic functions (31C10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (6)

On \(\sigma(\cdot, W)\)-holomorphic functions and theorems of Vitali-type ⋮ Pluricomplex Green functions on Stein manifolds and certain linear topological invariants ⋮ Meromorphic extensions of \((\cdot,W)\)-meromorphic functions ⋮ Levi extension theorems for meromorphic functions of weak type in infinite dimension ⋮ Some characterizations of the properties \(\widetilde {LB}^\infty\) and \(LB_\infty\) ⋮ Croissance des fonctions plurisousharmoniques en dimension infinie

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