Preservers for the p-Norm of Linear Combinations of Positive Operators
We describe the structure of those transformations on certain sets of positive operators which preserve the p-norm of linear combinations with given nonzero real coefficients. These sets are the collection of all positive pth Schatten-class operators and the set of its normalized elements. The resul...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/434121 |
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doaj-6ca90c171ccf4c8fad6ed86678fc50d12020-11-24T23:25:46ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/434121434121Preservers for the p-Norm of Linear Combinations of Positive OperatorsGergő Nagy0MTA-DE “Lendület” Functional Analysis Research Group, Institute of Mathematics, University of Debrecen P.O. Box 12, Debrecen 4010, HungaryWe describe the structure of those transformations on certain sets of positive operators which preserve the p-norm of linear combinations with given nonzero real coefficients. These sets are the collection of all positive pth Schatten-class operators and the set of its normalized elements. The results of the work generalize, extend, and unify several former theorems.http://dx.doi.org/10.1155/2014/434121 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gergő Nagy |
| spellingShingle |
Gergő Nagy Preservers for the p-Norm of Linear Combinations of Positive Operators Abstract and Applied Analysis |
| author_facet |
Gergő Nagy |
| author_sort |
Gergő Nagy |
| title |
Preservers for the p-Norm of Linear Combinations of Positive Operators |
| title_short |
Preservers for the p-Norm of Linear Combinations of Positive Operators |
| title_full |
Preservers for the p-Norm of Linear Combinations of Positive Operators |
| title_fullStr |
Preservers for the p-Norm of Linear Combinations of Positive Operators |
| title_full_unstemmed |
Preservers for the p-Norm of Linear Combinations of Positive Operators |
| title_sort |
preservers for the p-norm of linear combinations of positive operators |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2014-01-01 |
| description |
We describe the structure of those transformations on certain sets of positive operators which preserve the p-norm of linear combinations with given nonzero real coefficients. These sets are the collection of all positive pth Schatten-class operators and the set of its normalized elements. The results of the work generalize, extend, and unify several former theorems. |
| url |
http://dx.doi.org/10.1155/2014/434121 |
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AT gergonagy preserversforthepnormoflinearcombinationsofpositiveoperators |
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