List of short communications
List of short comunications
Little G. T. for lp-lattice summing operators
2000 Mathematics Subject Classification: 46B28, 47D15.In this paper we introduce and study the lp-lattice summing operators in the category of operator spaces which are the analogous of p-lattice summing operators in the commutative case. We study some interesting characterizations of this type of operators which generalize the results of Nielsen and Szulga and we show that Λ l∞( B(H) ,OH) ≠ Λ l2( B( H) ,OH), in opposition to the commutative case.
Littlewood-paley decomposition associated with the dunkl operators and paraproduct operators.
Littlewood-Paley theory and ϵ-families of operators
Littlewood-Paley-Stein theory for semigroups in UMD spaces.
Local algebras and the largest spectrum finite ideal.
M. R. F. Smyth proved in [9, Theorem 3.2] that the socle of a semiprimitive Banach complex algebra coincides with the largest algebraic ideal. Later M. Benslimane, A. Kaidi and O. Jaa showed [3] the equality between the socle and the largest spectrum finite ideal in semiprimitive alternative Banach complex algebras. In fact, they showed that every spectrum finite one-sided ideal of a semiprimitive alternative Banach complex algebra is contained in the socle. In this note a new proof is given of...
Local analysis of nonstandard functions of pre-distributional type
Local and Global Splittings in the State Space of a JB-Algebra.
Local and global -cone porosity
Local Banach algebras as Henselian rings
Local completeness of , .
Local completeness of locally pseudoconvex spaces and Borwein-Preiss variational principle
The notion of local completeness is extended to locally pseudoconvex spaces. Then a general version of the Borwein-Preiss variational principle in locally complete locally pseudoconvex spaces is given, where the perturbation is an infinite sum involving differentiable real-valued functions and subadditive functionals. From this, some particular versions of the Borwein-Preiss variational principle are derived. In particular, a version with respect to the Minkowski gauge of a bounded closed convex...
Local convexity is a three-space property for non-archimedean Fréchet spaces
Local convexity of twisted sums
Local dual spaces of a Banach space
We study the local dual spaces of a Banach space X, which can be described as the subspaces of X* that have the properties that the principle of local reflexivity attributes to X as a subspace of X**. We give several characterizations of local dual spaces, which allow us to show many examples. Moreover, every separable space X has a separable local dual Z, and we can choose Z with the metric approximation property if X has it. We also show that a separable space containing no...
Local inequalities for plurisubharmonic functions.
Local invertibility of non-archimedean vector-valued functions
Local Lipschitz continuity of the metric projection operator
Local Mappings on spaces of differentiable functions.