The space of all bounded operators on Hilbert space does not have the approximation property
The space of compact operators contains when a noncompact operator is suitably factorized
The space of countably simple bounded functions with values in a DF-space.
The Space of Distributions D' (...) is not Br- Complete.
The space of exponentially decreasing entire functions and its application to solvability
The space of Henstock integrable functions of two variables.
The space of maximal convex sets
The space of multipliers into
The space of real-analytic functions has no basis
Let Ω be an open connected subset of . We show that the space A(Ω) of real-analytic functions on Ω has no (Schauder) basis. One of the crucial steps is to show that all metrizable complemented subspaces of A(Ω) are finite-dimensional.
The space and σ-core
We give some new properties of the space and we apply them to the σ-core theory. These results generalize those by Choudhary and Yardimci.
The spaces and are ultrabornological. A new proof.
The Splitting Relation for Köthe Spaces.
The Steinitz theorem on rearrangement of series for nuclear spaces.
The Stieltjes moment problem in vector lattices.
The strong spectral extension property does not imply the multiplicative Hahn-Banach property
An example is given of a semisimple commutative Banach algebra that has the strong spectral extension property but fails the multiplicative Hahn-Banach property. This answers a question posed by M. J. Meyer in [4].
The Strong Topology on a Rearrangement Invariant Köthe Space.
The Strong Topology on the Dual Space of a Summability Field and the Mu-Continuity Problem.
The strongest vector space topology is locally convex on separable linear subspaces
Let X be a real or complex vector space equipped with the strongest vector space topology . Besides the result announced in the title we prove that X is uncountable-dimensional if and only if it is not locally pseudoconvex.
The structure of Eberlein, uniformly Eberlein and Talagrand compact spaces in Σ()
The sums of closed subspaces in a topological linear space