The second dual spaces of the sets of -strongly convergent and bounded sequences.
The semi- property for normed Riesz spaces
The Semi Orlicz Space
The semi-difference entire sequence space .
The semigroup of Fredholm operators.
The separated extensional Chu category.
The simplex of tracial quantum symmetric states
We show that the space of tracial quantum symmetric states of an arbitrary unital C*-algebra is a Choquet simplex and is a face of the tracial state space of the universal unital C*-algebra free product of A with itself infinitely many times. We also show that the extreme points of this simplex are dense, making it the Poulsen simplex when A is separable and nontrivial. In the course of the proof we characterize the centers of certain tracial amalgamated free product C*-algebras.
The Sobolev spaces of harmonic functions
The space bv(p), its β-dual and matrix transformations.
The space is not -complete
Certain classes of locally convex space having non complete separated quotients are studied and consequently results about -completeness are obtained. In particular the space of L. Schwartz is not -complete where denotes a non-empty open set of the euclidean space .
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.