The Structure of Triple Derivations on Semisimple Banach *-Algebras

Cheng-Kai Liu

Type: Article

Publication Date: 2016-12-22

Citations: 6

DOI: https://doi.org/10.1093/qmath/haw061

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The Quarterly Journal of Mathematics - View

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Citing (35)

Action	Title	Year	Authors
+	C*–Algebras and Operator Theory	1990	Gerard J. Murphy
+	Additive derivations of some operator algebras	1991	Peter Šemrl
+	Local derivations on $C^*$-algebras are derivations	2000	B. E. Johnson
+	Computing the symmetric ring of quotients	1987	D. S. Passman
+	BOUNDED DERIVATIONS OF <i>JB</i><sup>*</sup> - TRIPLES	1990	T. Barton Yaakov Friedman
+ PDF Chat	On generalized derivations in Banach algebras	2009	Nadia Boudi Said Ouchrif
+	Double Centralizers and Extensions of C ∗ -Algebras	1968	Robert C. Busby
+ PDF Chat	Local Triple Derivations on<i>C</i>*-Algebras<sup>†</sup>	2013	María Burgos Francisco J. Fernández-Polo Jorge J. Garcés Antonio M. Peralta
+	Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras	2013	Cheng-Kai Liu Hung Yuan Chen Pao Kuei Liau
+ PDF Chat	Generalized derivations of left faithful rings	1999	Tsiu-Kwen Lee
+	Representations, automorphisms, and derivations of some operator algebras	1973	Paul R. Chernoff
+	Elementary operators on primeC *-algebras. I	1989	Martin Mathieu
+	A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces	1983	Wilhelm Kaup
+	Factorization in group algebras	1959	Paul J. Cohen
+	Continuity of Derivations and a Problem of Kaplansky	1968	B. E. Johnson Allan M. Sinclair
+	Algebraic characterization of symmetric complex Banach manifolds	1977	Wilhelm Kaup
+ PDF Chat	Double centralizers and extensions of 𝐶*-algebras	1968	Robert C. Busby
+ PDF Chat	The group algebra of a locally compact group	1947	I. E. Segal
+	Generalized derivations with Engel condition on multilinear polynomials	2009	Vincenzo De Filippis
+ PDF Chat	Local derivations on Jordan triples	2013	Michael Mackey
+ PDF Chat	Derivations on Jordan-Banach algebras	1996	A. R. Villena
+ PDF Chat	Essentially defined derivations on semisimple Banach algebras	1997	A. R. Villena
+ PDF Chat	Local triple derivations on C∗-algebras and JB∗-triples	2014	Francisco J. Fernández-Polo Alexis Molino Antonio M. Peralta
+ PDF Chat	On the distance of the composition of two derivations to the generalized derivations	1991	Matej Brešar
+	Jordan mappings of semiprime rings	1989	Matej Brešar
+ PDF Chat	DERIVATIONS ON REAL AND COMPLEX JB*-TRIPLES	2002	Tony Ho Juan Martínez‐Moreno Antonio M. Peralta Bernard Russo
+	Skew Derivations in Banach Algebras	2015	Pao-Kuei Liau Cheng-Kai Liu
+ PDF Chat	Triple derivations on von Neumann algebras	2015	Robert Pluta Bernard Russo
+ PDF Chat	2-local triple derivations on von Neumann algebras	2014	Karimbergen Kudaybergenov Timur Oikhberg Antonio M. Peralta Bernard Russo
+	Automatic continuity of derivations on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mtext>C</mml:mtext></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math>-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mtext>JB</mml:mtext></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math>-triples	2013	Antonio M. Peralta Bernard Russo
+	Local derivations	1990	Richard V. Kadison
+	Rings with Generalized Identities	1995	Alexander A. Mikhalev Konstant J. Beidar Wallace S. Martindale
+	Local Multipliers of C*-Algebras	2003	Pere Ara Martin Mathieu
+	Automorphisms and Derivations of Associative Rings	1991	V. K. Kharchenko
+ PDF Chat	On commutative approximate identities and cyclic vectors of induced representations	1973	Andrzej Hulanicki Tadeusz Pytlik