Results 11 to 20 of about 94,277 (276)

Hyers-Ulam-Rassias stability of generalized derivations [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The generalized Hyers-Ulam-Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.
Mohammad Sal Moslehian
doaj   +6 more sources

Generators of Dynamical Systems on Hilbert Modules [PDF]

open access: yes, 2006
We characterize the generators of dynamical systems on Hilbert modules as those generators of one-parameter groups of Banach space isometries which are ternary derivations.
Skeide, Michael   +1 more
core   +4 more sources

Generalized Derivations with Commutativity and Anti-commutativity Conditions [PDF]

open access: yes, 2007
Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0; (iii) F(x) Ο F(y) = x Ο
Bell, Howard E., Rehman, Nadeem-ur
core   +1 more source

On Ideals and Orthogonal Generalized Derivations of Semiprime Rings [PDF]

open access: yes, 2007
In this paper, some results concerning orthogonal generalized derivations are generalized for a nonzero ideal of a semiprime ring. These results are a generalization of results of M. Brešar and J.
Albas, Emine
core   +1 more source

Generalized Derivations of BCC-Algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
The notion of generalized derivations of BCC-algebras is introduced, and some related properties are investigated. Also, we consider regular generalized derivations and the D-invariant on ideals of BCC-algebras.
S. M. Bawazeer   +2 more
doaj   +1 more source

Extended quantum conditional entropy and quantum uncertainty inequalities [PDF]

open access: yes, 2012
Quantum states can be subjected to classical measurements, whose incompatibility, or uncertainty, can be quantified by a comparison of certain entropies. There is a long history of such entropy inequalities between position and momentum.
C. Davis   +18 more
core   +3 more sources

Approximation of Generalized Left Derivations

open access: yesAbstract and Applied Analysis, 2008
We need to take account of the superstability for generalized left derivations (resp., generalized derivations) associated with a Jensen-type functional equation, and we also deal with problems for the Jacobson radical ranges of left derivations (resp ...
Sheon-Young Kang, Ick-Soon Chang
doaj   +1 more source

Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N,  ∀N∈A} is a nest algebra. It will be shown that of nest algebra,
Dangui Yan, Chengchang Zhang
doaj   +1 more source

Survey on Recent Ulam Stability Results Concerning Derivations

open access: yesJournal of Function Spaces, 2016
This is a survey presenting the most significant results concerning approximate (generalized) derivations, motivated by the notions of Ulam and Hyers-Ulam stability.
Janusz Brzdęk   +4 more
doaj   +1 more source

Generalized Projective product of semi-rings

open access: yesWasit Journal of Computer and Mathematics Science
The concept of Differential algebra has been played an influential role in various directions of abstract algebra. This notation has been considered before fifty years ago with semi-ring and several types of rings.
mohd Shahoodh
doaj   +1 more source

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