A Note on compactness in Banach spaces.
A note on direct sum of ordered topological vector spaces
A note on embedding into product spaces
Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of , thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.
A note on extreme contractions on -spaces
A Note on Extreme Positive Definite Matrices.
A note on Fréchet-Urysohn locally convex spaces.
Recently Cascales, Kąkol and Saxon showed that in a large class of locally convex spaces (so called class G) every Fréchet-Urysohn space is metrizable. Since there exist (under Martin’s axiom) nonmetrizable separable Fréchet-Urysohn spaces Cp(X) and only metrizable spaces Cp(X) belong to class G, we study another sufficient conditions for Fréchet-Urysohn locally convex spaces to be metrizable.
A note on -spaces.
A note on implicit functions in locally convex spaces.
A note on infinite dimensional convex sets.
A note on intersections of simplices
We provide a corrected proof of [1, Théorème 9] stating that any metrizable infinite-dimensional simplex is affinely homeomorphic to the intersection of a decreasing sequence of Bauer simplices.
A note on Kakutani type fixed point theorems.
A note on L-Dunford-Pettis sets in a topological dual Banach space
The present paper is devoted to some applications of the notion of L-Dunford-Pettis sets to several classes of operators on Banach lattices. More precisely, we establish some characterizations of weak Dunford-Pettis, Dunford-Pettis completely continuous, and weak almost Dunford-Pettis operators. Next, we study the relationships between L-Dunford-Pettis, and Dunford-Pettis (relatively compact) sets in topological dual Banach spaces.
A Note on Locally Convex Spaces.
A note on locally convex spaces with a basic sequence of -disks
A note on -ideals in certain algebras of operators.
A Note on Metrizable Linear Topologies Strictly Finer than a Given Metrizable Complete Linear Topology.
A Note on Minkowski Functionals of a Topological Vector Space
A note on natural tensor products containing complemented copies of
A note on normability of locally convex spaces
A note on polynomially barreled locally convex spaces