On the surjectivity of linear transformations
Let B be a reflexive Banach space, X a locally convex space and T:B→X (not necessarily bounded) linear transformation. A necessary and sufficient condition is obtained so that for a given v∈X there is a solution for the equation Tu=v. This result is used to discuss the existence of an Lp-weak soluti...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1996-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000750 |