|
|||||
|
|
|
|
|
|
|
|
|
The extension of
bilinear functionals
Thomas Lee Hayden |
|
Vol. 22 (1967), No. 1, 99–108
|
Abstract |
|
Using the relationship between bilinear functionals and linear operators we obtain some theorems on the extension of bilinear functionals. To extend bilinear functionals in Hilbert Spaces a special constructional process is given which is a generalization of the usual inner product. This allows the construction of bilinear functionals with special properties. In particular it allows a generalization of the Lax-Milgram Theorem. We also extend the Lax-Milgram Theorem to reflexive Banach Spaces. |
Mathematical Subject Classification
Primary: 46.10
|
Milestones
Received: 3 August 1966
Published: 1 July 1967
|
Authors |
| Thomas Lee Hayden | |
|
