Varieties of linear topological spaces

Diestel, J.; Morris, Sidney A.; Saxon, Stephen A.

doi:10.1090/S0002-9947-1972-0316992-2

Varieties of linear topological spaces

Authors: J. Diestel, Sidney A. Morris and Stephen A. Saxon
Journal: Trans. Amer. Math. Soc. 172 (1972), 207-230
MSC: Primary 46A05; Secondary 46B99, 46M15
DOI: https://doi.org/10.1090/S0002-9947-1972-0316992-2
MathSciNet review: 0316992
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Abstract: This paper initiates the formal study of those classes of locally convex spaces which are closed under the taking of arbitrary subspaces, separated quotients, cartesian products and isomorphic images. Well-known examples include the class of all nuclear spaces and the class of all Schwartz spaces.

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