Results 21 to 30 of about 528 (95)
Functional equations related to higher derivations in semiprime rings
Open Mathematics, 2021 We investigate the additivity and multiplicativity of centrally extended higher derivations and show that every centrally extended higher derivation of a semiprime ring with no nonzero central ideals is a higher derivation.
Ezzat O. H.
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Weighted Lambert type operators on L^p spaces
, 2013 In this paper, we investigate some classic properties of weighted Lambert type operators on Lp spaces. Mathematics subject classification (2010): 47B47.
Y. Estaremi, M. Jabbarzadeh
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 53, Page 2821-2834, 2004., 2004 We extend the Putnam‐Fuglede theorem and the second‐degree Putnam‐Fuglede theorem to the nonnormal operators and to an elementary operator under perturbation by quasinilpotents. Some asymptotic results are also given.
Yin Chen
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Hyers-Ulam-Rassias stability of (m, n)-Jordan derivations
Open Mathematics, 2020 In this paper, we study the Hyers-Ulam-Rassias stability of (m,n)(m,n)-Jordan derivations. As applications, we characterize (m,n)(m,n)-Jordan derivations on C⁎{C}^{\ast }-algebras and some non-self-adjoint operator algebras.
An Guangyu, Yao Ying
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Derivations on Banach algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 28, Page 1803-1806, 2003., 2003 Let D be a derivation on a Banach algebra; by using the operator D2, we give necessary and sufficient conditions for the separating ideal of D to be nilpotent. We also introduce an ideal M(D) and apply it to find out more equivalent conditions for the continuity of D and for nilpotency of its separating ideal.
S. Hejazian, S. Talebi
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Some versions of Anderson′s and Maher′s inequalities I
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3281-3297, 2003., 2003 We prove the orthogonality (in the sense of Birkhoff) of the range and the kernel of an important class of elementary operators with respect to the Schatten p‐class.
Salah Mecheri
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Operator amenability of Fourier-Stieltjes algebras [PDF]
, 2003 The notion of operator amenability was introduced by Z.-J. Ruan in 1995. He showed that a locally compact group G is amenable if and only if its Fourier algebra A(G) is operator amenable.
Runde, Volker, Spronk, Nico
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Some versions of Anderson′s and Maher′s inequalities II
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3355-3372, 2003., 2003 We are interested in the investigation of the orthogonality (in the sense of Birkhoff) of the range of an elementary operator and its kernel.
Salah Mecheri
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Generalized derivation modulo the ideal of all compact operators
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 8, Page 501-506, 2002., 2002 We give some results concerning the orthogonality of the range and the kernel of a generalized derivation modulo the ideal of all compact operators.
Salah Mecheri, Ahmed Bachir
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On the stability of ∗-derivations on Banach ∗-algebras
, 2012 In the current paper, we study the stability and the superstability of ∗-derivations associated with the Cauchy functional equation and the Jensen functional equation. We also prove the stability and the superstability of Jordan ∗-derivations on Banach ∗-
Choonkill Park, A. Bodaghi
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