Preservation of Closure in a Locally Convex Space. I
نویسندگان
چکیده
منابع مشابه
Preservation of Closure in a Locally Convex Space. I
This paper is concerned with the lifting of the closures of sets. If H is a topological vector space, G a subspace and A closed in G for the induced topology, under what conditions on A in G is it true that the closure of A is preserved in H, i.e., A is closed in HI In this paper a fundamental lifting proposition is proved. 'Preservation of closure' will prove to be a fruitful technique in obta...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1980
ISSN: 0002-9947
DOI: 10.2307/1999834