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Schwartz spaces, nuclear spaces and tensor products. (English) Zbl 0413.46001
Leture Notes in Mathematics. 726. Berlin, Heidelberg, New York: Springer- Verlag. VIII, 418 p. DM 39.00; $ 21.50 (1979).

MSC:
46A13 Spaces defined by inductive or projective limits (LB, LF, etc.)
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
46A20 Duality theory for topological vector spaces
46A32 Spaces of linear operators; topological tensor products; approximation properties
46A40 Ordered topological linear spaces, vector lattices
46A45 Sequence spaces (including Köthe sequence spaces)
46M05 Tensor products in functional analysis
46M40 Inductive and projective limits in functional analysis
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
47L10 Algebras of operators on Banach spaces and other topological linear spaces
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
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