|
|
|
|
Volume 6, Issue 5, Article 130 |
|
|
|
|
|
|
Necessary and Sufficient Condition for Compactness of the Embedding Operator
|
|
|
Authors: |
Alexander G. Ramm, |
|
|
|
Keywords:
|
Banach spaces, Compactness, Embedding operator. |
|
|
|
Date Received:
|
20/09/05 |
|
|
|
Date Accepted:
|
30/09/05 |
|
|
|
Subject Codes: |
46B50, 46E30, 47B07.
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|