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
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by J. Diestel, Sidney A. Morris and Stephen A. Saxon PDF

Trans. Amer. Math. Soc. 172 (1972), 207-230 Request permission

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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