Weak star and bounded weak star continuity of Banach algebra products
Weak type (1, 1) bounds for rough operators, II.
Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.
We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
Weak type inequalities for product operators
Weak type inequalities for the maximal ergodic function and the maximal ergodic Hilbert transform in weighted spaces
Weak uniform continuity and weak sequential continuity of continuous n-linear mappings between Banach spaces.
In this paper it is shown that the class LnWU (E1,E2,...,En;F) of weakly uniformly continuous n-linear mappings from E1x E2x...x En to F on bounded sets coincides with the class LnWSC (E1,E2,...,En;F) of weakly sequentially continuous n-linear mappings if and only if for every Banach space F, each Banach space Ei for i = 1,2,...,n does not contain a copy of l1.
Weak uniform normal structure and iterative fixed points of nonexpansive mappings
This paper is concerned with weak uniform normal structure and iterative fixed points of nonexpansive mappings. Precisely, in Section 1, we show that the geometrical coefficient β(X) for a Banach space X recently introduced by Jimenez-Melado [8] is exactly the weakly convergent sequence coefficient WCS(X) introduced by Bynum [1] in 1980. We then show in Section 2 that all kinds of James' quasi-reflexive spaces have weak uniform normal structure. Finally, in Section 3, we show that in a space X with...
Weak uniform normal structure in direct sum spaces
The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.
Weak vs. norm compactness in : the Bocce criterion
Weak*-continuity of Jordan triple products and its applications.
Weaker convergence conditions for the secant method
We use tighter majorizing sequences than in earlier studies to provide a semilocal convergence analysis for the secant method. Our sufficient convergence conditions are also weaker. Numerical examples are provided where earlier conditions do not hold but for which the new conditions are satisfied.
Weakly coercive mappings sharing a value
Some sufficient conditions are provided that guarantee that the difference of a compact mapping and a proper mapping defined between any two Banach spaces over has at least one zero. When conditions are strengthened, this difference has at most a finite number of zeros throughout the entire space. The proof of the result is constructive and is based upon a continuation method.
Weakly compact composition operators on analytic vector-valued function spaces.
Weakly Compact Operators and the Dunford-Pettis Property on Uniform Spaces
Weakly compact operators and -additive measures
Weakly compact operators from a B-space into the space of Bochner integrable functions
Weakly Compact Operators on Jordan Triples.
Weakly compact operators on Köthe-Bochner spaces with the mixed topology
Let E be a Banach function space and let X be a real Banach space. We examine weakly compact linear operators from a Köthe-Bochner space E(X) endowed with some natural mixed topology (in the sense of Wiweger) to a Banach space Y.
Weakly compact wedge operators on Köthe echelon spaces.
Weakly compatible maps in 2-non-Archimedean Menger PM-spaces.