Some commutative neutrix convolution products of functions
The commutative neutrix convolution product of the locally summable functions and is evaluated. Further similar commutative neutrix convolution products are evaluated and deduced.
Some companions of the Grüss inequality in inner product spaces.
Some conditions for a -semigroup to be asymptotically finite-dimensional.
Some conditions on Douglas algebras that imply the invariance of the minimal envelope map.
Some consequences of a kind of Hahn-Banach's theorem
Some contributions to the study of the Space of distributions D'(V), with V closed.
Some convergence theorems for HK-integral in locally convex spaces
We present some convergence theorems for the HK-integral of functions taking values in a locally convex space. These theorems are based on the concept of HK-equiintegrability.
Some convexity properties of Musielak-Orlicz spaces of Bochner type
Some convexity questions arising in statistical mechanics.
Some counterexamples in -adic analysis
Some criteria for weak compactness.
Some Dense Barrelled Subspaces of ... and Incomplete ...-Spaces.
Some distributional products with relativistic invariance.
Some duality results on bounded approximation properties of pairs
The main result is as follows. Let X be a Banach space and let Y be a closed subspace of X. Assume that the pair has the λ-bounded approximation property. Then there exists a net of finite-rank operators on X such that and for all α, and and converge pointwise to the identity operators on X and X*, respectively. This means that the pair (X,Y) has the λ-bounded duality approximation property.
Some embedding theorems for classes of sequences
Some embeddings into the Morrey and modified Morrey spaces associated with the Dunkl operator.
Some embeddings of weighted Sobolev spaces on finite measure and quasibounded domains.
Some equivalent geometrical results with Ekeland's variational principle.
Some Essential Properties of Q...(...)-Spaces.
Some Estimates for Type and Cotype Constants.