The subspace problem for weighted inductive limits revisited
DOI10.1216/RMJM/1022008977zbMath0992.46015OpenAlexW1981231665MaRDI QIDQ5928660
Publication date: 1 April 2001
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-1/CONT30-1/CONT30-1.html
boundedly retractive inductive limitcomplemented subspacecondition (D)Köthe spaceLiouville theoremlocally normableMontel spacenon-bornologicalnon-bornological sequence spacenon-distinguishedprojective description problemquasinormableregularly decreasingsemi-Montelspaces of continuous functionsspaces of holomorphic functionssubspace problem for inductive limitsweighted inductive limit
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) Locally convex Fréchet spaces and (DF)-spaces (46A04) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Duality theory for topological vector spaces (46A20) Spaces of linear operators; topological tensor products; approximation properties (46A32) Inductive and projective limits in functional analysis (46M40)
Related Items (1)
Cites Work
- A Köthe space which has a continuous norm but whose bidual does not
- Universal Köthe sequence spaces
- Interpolation of entire functions and projective descriptions
- The subspace problem for weighted inductive limits of spaces of holomorphic functions
- A Projective Description of Weighted Inductive Limits
- On the lifting of bounded sets in Fréchet spaces
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