Jordan zero-product preserving additive maps on operator algebras

Liang Zhao, Jinchuan Hou

Type: Article

Publication Date: 2005-04-30

Citations: 33

DOI: https://doi.org/10.1016/j.jmaa.2005.04.015

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Locations

Journal of Mathematical Analysis and Applications - View

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Works That Cite This (32)

Action	Title	Year	Authors
+	Bi-additive maps of<i>ξ</i>-Lie product type vanishing on zero products of<i>XY</i>and<i>YX</i>	2016	Tsiu-Kwen Lee
+ PDF Chat	Preserving Zeros of a Polynomial	2009	A. É. Guterman Bojan Kuzma
+	Maps preserving the dimension of fixed points of products of operators	2013	Ali Taghavi Roja Hosseinzadeh
+ PDF Chat	Linear maps preserving elements annihilated by the polynomial XY-YX<sup>†</sup>	2006	Jianlian Cui Jinchuan Hou
+	Preserving zeros of a polynomial	2007	A. È. Guterman Bojan Kuzma
+	Bilinear forms on matrix algebras vanishing on zero products of xy and yx	2014	M. Tamer Koşan Tsiu-Kwen Lee Yiqiang Zhou
+	Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators	2018	Roja Hosseinzadeh I. Sharifi Ali Taghavi
+	Additive maps preserving Jordan zero-products on nest algebras	2008	Jinchuan Hou Meiyan Jiao
+	Maps completely preserving commutativity and maps completely preserving Jordan zero-product	2014	Li Huang Yanxiao Liu
+	On maps preserving zeros of Lie polynomials of small degrees	2009	Toan Duc Dinh Michael A. Donzella

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	On certain elements of $C^{\ast}$-algebras	1971	J. A. Erdös
+	A Course in Operator Theory	1999	John B. Conway
+	Zero product preserving maps of operator-valued functions	2003	Wen-Fong Ke Bing-Ren Li Ngai Wong
+ PDF Chat	Sums of small numbers of idempotents.	1967	Carl Pearcy David M. Topping
+	C∗-algebras of real rank zero	1991	Lawrence G. Brown Gert K. Pedersen
+ PDF Chat	Mappings preserving zero products	2003	M. A. Chebotar W.-F. Ke Po‐Huang Lee Ngai‐Ching Wong
+	Zero-product preserving additive maps on symmetric operator spaces and self-adjoint operator spaces	2005	Jinchuan Hou Liankuo Zhao
+	Additive mappings preserving operators of rank one	1993	Matjaž Omladič Peter Šemrl
+	Additive mappings decreasing rank one	2002	Bojan Kuzma
+	On operators preserving commutativity	1986	Matjaž Omladič