Some normability conditions on Fréchet spaces.
We define two new normability conditions on Fréchet spaces and announce some related results.
Some Normed Barrelled Spaces which are not Baire.
Some notes on convex sets.
Some observations on local uniform boundedness principles
Some observations on local uniform boundedness principles. II
Some old and new applications of Choquet theory in potential theory
Some permanence properties of locally convex spaces defined by norm space ideals of operators
Some possibilities in solving operator equations using non stationary iterative method
Some properties of continuous function spaces
Some Properties of Convex Sets Related to Fixed Points Theorems*.
Some Properties of Hausdorff Measure of Noncompactness on Locally Bounded Topological Vector Spaces
Some properties of ,0 < p < 1
Some properties of spaces.
Some properties of regular bilinear operators.
Some properties of short exact sequences of locally convex Riesz spaces
We investigate the stability of some properties of locally convex Riesz spaces in connection with subspaces and quotients and also the corresponding three-space-problems. We show that in the richer structure there are more positive answers than in the category of locally convex spaces.
Some Properties of the Bornological Spaces
Some properties of the tensor product of Schwartz εb-spaces.
We define the ε-product of an εb-space by quotient bornological spaces and we show that if G is a Schwartz εb-space and E|F is a quotient bornological space, then their εc-product Gεc(E|F) defined in [2] is isomorphic to the quotient bornological space (GεE)|(GεF).
Some properties of weak Banach-Saks operators
We establish necessary and sufficient conditions under which weak Banach-Saks operators are weakly compact (respectively, L-weakly compact; respectively, M-weakly compact). As consequences, we give some interesting characterizations of order continuous norm (respectively, reflexive Banach lattice).
Some Ramsey type theorems for normed and quasinormed spaces
We prove that every bounded, uniformly separated sequence in a normed space contains a “uniformly independent” subsequence (see definition); the constants involved do not depend on the sequence or the space. The finite version of this result is true for all quasinormed spaces. We give a counterexample to the infinite version in for each 0 < p < 1. Some consequences for nonstandard topological vector spaces are derived.
Some remarks about Mackey convergence.