Linear mappings between topological vector spaces
1972 ◽
Vol 14
(1)
◽
pp. 105-118
Keyword(s):
If A and B are locally convex topological vector spaces, and B has certain additional structure, then the space L(A, B) of all continuous linear mappings of A into B is characterized, within isomorphism, as the inductive limit of a family of spaces, whose elements are functions, or measures. The isomorphism is topological if L(A, B) is given a particular topology, defined in terms of the seminorms which define the topologies of A and B. The additional structure on B enables L(A, B) to be constructed, using the duals of the normed spaces obtained by giving A the topology of each of its seminorms separately.
1968 ◽
Vol 9
(2)
◽
pp. 103-105
◽
1990 ◽
Vol 9
(1)
◽
pp. 15-18
Keyword(s):
1989 ◽
Vol 12
(3)
◽
pp. 429-434
Keyword(s):
1992 ◽
Vol 15
(1)
◽
pp. 65-81
◽
2001 ◽
pp. 205-244
Keyword(s):