تقرير
Maps on classes of Hilbert space operators preserving measure of commutativity
| العنوان: | Maps on classes of Hilbert space operators preserving measure of commutativity |
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| المؤلفون: | Gehér, György Pál, Nagy, Gergő |
| المصدر: | Linear Algebra Appl., 463 (2014), Pages 205-227 |
| سنة النشر: | 2014 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Primary: 47B49. Secondary: 15A86 |
| الوصف: | In this paper first we give a partial answer to a question of L. Moln\'ar and W. Timmermann. Namely, we will describe those linear (not necessarily bijective) transformations on the set of self-adjoint matrices which preserve a unitarily invariant norm of the commutator. After that we will characterize those (not necessarily linear or bijective) maps on the set of self-adjoint rank-one projections acting on a two-dimensional complex Hilbert space which leave the latter quantity invariant. Finally, this result will be applied in order to obtain a description of such bijective preservers on the unitary group and on the set of density operators. Comment: 16 pages, submitted to a journal |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.laa.2014.08.026 |
| URL الوصول: | http://arxiv.org/abs/1407.0917 |
| رقم الأكسشن: | edsarx.1407.0917 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.laa.2014.08.026 |
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