Obstacles to bounded recovery
Let X be a Banach space, V⊂X is its subspace and U⊂X*. Given x∈X, we are looking for v∈V such that u (v)=u (x) for all u∈U and ‖v‖ ≤M‖x‖. In this article, we study the restrictions placed on the constant M as a function of X,V, and U.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000719 |
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| _version_ | 1832550202963132416 |
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| author | Boris Shekhtman |
| author_facet | Boris Shekhtman |
| author_sort | Boris Shekhtman |
| collection | DOAJ |
| description | Let X
be a Banach space, V⊂X
is its subspace and U⊂X*. Given x∈X, we are looking for v∈V such
that u (v)=u (x)
for all u∈U and ‖v‖ ≤M‖x‖. In
this article, we study the restrictions placed on the constant M
as a function of X,V, and U. |
| format | Article |
| id | doaj-art-3456d6ca11734866a81f61c50ff8ce04 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3456d6ca11734866a81f61c50ff8ce042025-02-03T06:07:18ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-016738140010.1155/S1085337501000719Obstacles to bounded recoveryBoris Shekhtman0Department of Mathematics, University of South Florida, Tampa 33620-5700, FL, USALet X be a Banach space, V⊂X is its subspace and U⊂X*. Given x∈X, we are looking for v∈V such that u (v)=u (x) for all u∈U and ‖v‖ ≤M‖x‖. In this article, we study the restrictions placed on the constant M as a function of X,V, and U.http://dx.doi.org/10.1155/S1085337501000719 |
| spellingShingle | Boris Shekhtman Obstacles to bounded recovery Abstract and Applied Analysis |
| title | Obstacles to bounded recovery |
| title_full | Obstacles to bounded recovery |
| title_fullStr | Obstacles to bounded recovery |
| title_full_unstemmed | Obstacles to bounded recovery |
| title_short | Obstacles to bounded recovery |
| title_sort | obstacles to bounded recovery |
| url | http://dx.doi.org/10.1155/S1085337501000719 |
| work_keys_str_mv | AT borisshekhtman obstaclestoboundedrecovery |