Schwartz Spaces, Nuclear Spaces and Tensor Products

DOI10.1007/BFb0062863zbMath0413.46001OpenAlexW608538177MaRDI QIDQ4201268

Yau-Chen Wong

Publication date: 1979

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0062863

zbMATH Keywords

operator idealsabsolutely summing operatorsSchwartz spacesbounded approximation propertytopological tensor productsnuclear spacesKöthe sequence spacescone-absolutely summing operatorsordered convex tensor products

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) 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) 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) Ordered topological linear spaces, vector lattices (46A40) Tensor products in functional analysis (46M05) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

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