On the geometry in projective limits of Hilbert spaces

DOI10.1016/0022-247X(81)90115-3zbMath0459.46004OpenAlexW2071697831MaRDI QIDQ1152057

Friedrich Haslinger

Publication date: 1981

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(81)90115-3

zbMATH Keywords

spaces of holomorphic functionsbasesKöthe sequence spacesorthogonality with respect to infinitely many inner productsprojective limits of Hilbert spacesspaces of infinitely differentiable functions

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inductive and projective limits in functional analysis (46M40)

Cites Work

• Abel-Goncarov polynomial expansions
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Базисные последовательности, биортогональные системы и нормирующие множества в пространствах Банаха и Фреше
• Whittaker Constants
• On spaces of holomorphic functions
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