On the modulus of -convexity of Ji Gao.
Mazcuñán-Navarro, Eva María (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Derivations in Banach algebras.”
On the modulus of -convexity of Ji Gao.
Some inequalities concerning the weakly convergent sequence coefficient in Banach spaces.
Jiao, Hongwei, Guo, Yunrui (2008)
Abstract and Applied Analysis
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Range inclusion results for derivations on noncommutative Banach algebras
Volker Runde (1993)
Studia Mathematica
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Let A be a Banach algebra, and let D : A → A be a (possibly unbounded) derivation. We are interested in two problems concerning the range of D: 1. When does D map into the (Jacobson) radical of A? 2. If [a,Da] = 0 for some a ∈ A, is Da necessarily quasinilpotent? We prove that derivations satisfying certain polynomial identities map into the radical. As an application, we show that if [a,[a,[a,Da]]] lies in the prime radical of A for all a ∈ A, then D maps into the radical. This generalizes...
Some modulus and normal structure in Banach space.
Zuo, Zhanfei, Cui, Yunan (2009)
Journal of Inequalities and Applications [electronic only]
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A note on properties that imply the fixed point property.
Dhompongsa, S., Kaewkhao, A. (2006)
Abstract and Applied Analysis
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On the structure of derivations on certain nonamenable nuclear Banach algebras.
Barrenechea, Ana L., Peña, Carlos C. (2009)
The New York Journal of Mathematics [electronic only]
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Power-bounded elements and radical Banach algebras
Graham Allan (1997)
Banach Center Publications
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Firstly, we give extensions of results of Gelfand, Esterle and Katznelson--Tzafriri on power-bounded operators. Secondly, some results and questions relating to power-bounded elements in the unitization of a commutative radical Banach algebra are discussed.
Effective determination of all the Hahn--Banach extensions of some linear and continuous functionals.
Costara, Constantin, Popa, Dumitru (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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On infinite dimensional uniform smoothness of Banach spaces
Stanisław Prus (1999)
Commentationes Mathematicae Universitatis Carolinae
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An infinite dimensional counterpart of uniform smoothness is studied. It does not imply reflexivity, but we prove that it gives some -type estimates for finite dimensional decompositions, weak Banach-Saks property and the weak fixed point property.
Aspects of the theory of derivations
Gerard Murphy (1994)
Banach Center Publications
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We survey some old and new results in the theory of derivations on Banach algebras. Although our overview is broad ranging, our principal interest is in recent results concerning conditions on a derivation implying that its range is contained in the radical of the algebra.