Imbedding of power series spaces and spaces of analytic functions

DOI10.1007/BF02568426zbMath0724.46009OpenAlexW1994188215MaRDI QIDQ757782

Jörg Krone, Tosun Terzioǧlu, Aydin Aytuna

Publication date: 1990

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155493

zbMATH Keywords

nuclear Fréchet spacecomplete Reinhardt domain

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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 (4)

Pluricomplex Green functions on Stein manifolds and certain linear topological invariants ⋮ On the equality between two diametral dimensions ⋮ Some remarks on diametral dimension and approximate diametral dimension of certain nuclear Fréchet spaces ⋮ Tameness in Fréchet spaces of analytic functions

Cites Work

• Complemented infinite type power series subspaces of nuclear Fréchet spaces
• Generalized Mityagin invariants and a continuum of pairwise nonisomorphic spaces of analytic functions
• The n-width of sets of analytic functions
• Charakterisierung der Unterräume von \((s)\)
• Regular bases in products of power series spaces
• Vektorwertige Distributionen als Randverteilungen holomorpher Funktionen
• The structure of nuclear Frechet spaces
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Die diametrale Dimension von lokalkonvexen Räumen
• Charakterisierung der Unterraüme eines nuklearen stabilen Potenzreihenraumes von endlichen Typ
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau
• On certain subspaces of a nuclear power series spaces of finite type
• Charakterisierung der Unterraüme und Quotienteräume der nuklearen stabilen Potenzreihenraüme von unendlichem Typ
• SPACES OF FUNCTIONS OF ONE VARIABLE, ANALYTIC IN OPEN SETS AND ON COMPACTA
• LINEAR PROBLEMS OF COMPLEX ANALYSIS
• On spaces of holomorphic functions
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