Maps preserving the square zero of η-Lie product of operators
Abstract: Let ℬ(ℋ) be the algebra of all bounded linear operators on an infinite dimensional Hilbert space ℋ. In this paper, we identify the form of the unital surjective additive map φ : ℬ(ℋ)→ ℬ(ℋ)which preserv...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200003005912020-06-17Maps preserving the square zero of η-Lie product of operatorsTaghavi,AliHosseinzadeh,RojaYousefi,Masoomeh Preserver problem Square zero operator η-Lie product Abstract: Let ℬ(ℋ) be the algebra of all bounded linear operators on an infinite dimensional Hilbert space ℋ. In this paper, we identify the form of the unital surjective additive map φ : ℬ(ℋ)→ ℬ(ℋ)which preserves the square zero of η-Lie product of operators for some scalar η with η ≠ 0, 1, −1.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.3 20202020-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300591en10.22199/issn.0717-6279-2020-03-0036 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Preserver problem Square zero operator η-Lie product |
| spellingShingle |
Preserver problem Square zero operator η-Lie product Taghavi,Ali Hosseinzadeh,Roja Yousefi,Masoomeh Maps preserving the square zero of η-Lie product of operators |
| description |
Abstract: Let ℬ(ℋ) be the algebra of all bounded linear operators on an infinite dimensional Hilbert space ℋ. In this paper, we identify the form of the unital surjective additive map φ : ℬ(ℋ)→ ℬ(ℋ)which preserves the square zero of η-Lie product of operators for some scalar η with η ≠ 0, 1, −1. |
| author |
Taghavi,Ali Hosseinzadeh,Roja Yousefi,Masoomeh |
| author_facet |
Taghavi,Ali Hosseinzadeh,Roja Yousefi,Masoomeh |
| author_sort |
Taghavi,Ali |
| title |
Maps preserving the square zero of η-Lie product of operators |
| title_short |
Maps preserving the square zero of η-Lie product of operators |
| title_full |
Maps preserving the square zero of η-Lie product of operators |
| title_fullStr |
Maps preserving the square zero of η-Lie product of operators |
| title_full_unstemmed |
Maps preserving the square zero of η-Lie product of operators |
| title_sort |
maps preserving the square zero of η-lie product of operators |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000300591 |
| work_keys_str_mv |
AT taghaviali mapspreservingthesquarezeroof951lieproductofoperators AT hosseinzadehroja mapspreservingthesquarezeroof951lieproductofoperators AT yousefimasoomeh mapspreservingthesquarezeroof951lieproductofoperators |
| _version_ |
1718439872606240768 |