Results 21 to 30 of about 115,159 (298)
Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings [PDF]
Transactions of the American Mathematical Society, 1993 Using intricate but elementary calculations, the author obtains characterizations of Lie isomorphisms, Lie derivations, and other mappings of prime rings which extend a number of results in the literature. For the statement of all the results which follow, \(R\) and \(A\) are prime rings with neither of characteristic two and neither embedding in \(M_ ...
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On strong commutativity‐preserving maps [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We identify some strong commutativity‐preserving maps on semiprime rings. Among other results, we prove the following. (i) A centralizing homomorphism f of a semiprime ring R onto itself is strong commutativity preserving. (ii) A centralizing antihomomorphism f of a 2‐torsion‐free semiprime ring R onto itself is strong commutativity preserving.
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Hypercyclicity Properties of Commutator Maps [PDF]
Integral Equations and Operator Theory, 2016 We investigate the hypercyclic properties of commutator maps acting on separable ideals of operators. As the main result we prove the commutator map induced by scalar multiples of the backward shift operator fails to be hypercyclic on the space of compact operators on $\ell^2$. We also establish some necessary conditions which identify large classes of
Clifford Gilmore +2 more
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Stability of commuting maps and Lie maps
Studia Mathematica, 2012 info:eu-repo/semantics ...
Alaminos, J. +3 more
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Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces
Journal of Applied Mathematics, 2012 We introduce some new types of pairs of mappings (𝑓,𝑔) on G-metric space called G-weakly commuting of type (𝐴𝑓) and G-R-weakly commuting of type (𝐴𝑓).
Zead Mustafa
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Common fixed point theorems for compatible mappings
International Journal of Mathematics and Mathematical Sciences, 1996 By using a compatibility condition due to Jungck we establish some common fixed point theorems for four mappings on complete and compact metric spaces These results also generalize a theorem of Sharma and Sahu.
Kenan Taş +2 more
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Some fixed point theorems for compatible maps
International Journal of Mathematics and Mathematical Sciences, 1993 A collection of fixed point theorems is generalized by replacing hypothesized commutativity or weak commutativity of functions involved by compatibility.
G. jungck, B. E. Rhoades
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On Mappings Which Commute with Convolution [PDF]
Journal of the Australian Mathematical Society, 1971 The symbolDwill be written for the space of indefinitely differentiable functions on the n-dimensional Euclidean spaceRnwhich have compact support andDapos; will denote the space of Schwartz distribution onRn, the topological dual ofD. Except where contrary is explicitly stated, it will be assumed thatD′ is equipped with the strong topology β (D′,D ...
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Common fixed point theorems for two and three mappings
Fixed Point Theory and Applications, 2020 In this paper, we provide common fixed point theorems for two and three commuting mappings which generalize Darbo’s fixed point theorem. An explicit example is given for illustration.
Meryeme El Harrak, Ahmed Hajji
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Canonical commutation relation preserving maps [PDF]
Journal of Physics A: Mathematical and General, 2001 We study maps preserving the Heisenberg commutation relation $ab - ba=1$. We find a one-parameter deformation of the standard realization of the above algebra in terms of a coordinate and its dual derivative. It involves a non-local ``coordinate'' operator while the dual ``derivative'' is just the Jackson finite-difference operator.
Chryssomalakos, C., Turbiner, A.
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