Every nuclear Fréchet space with a regular basis has the quasi-equivalence property
Every Radon-Nikodym Corson compact space is Eberlein compact
Every separable Banach space has a basis with uniformly controlled permutations [Book]
Every separable Banach space has a bounded strong norming biorthogonal sequence which is also a Steinitz basis
Every separable, infinite-dimensional Banach space X has a biorthogonal sequence , with norming on X and bounded, so that, for every x in X and x* in X*, there exists a permutation π(n) of n so that .
Every separable Fréchet space contains a non stable dense subspace
Every separable L₁-predual is complemented in a C*-algebra
We show that every separable complex L₁-predual space X is contractively complemented in the CAR-algebra. As an application we deduce that the open unit ball of X is a bounded homogeneous symmetric domain.
Every topological category is convenient for Gelfand Duality.
Exact -monotonicity of one class of Banach pairs.
Exact Regularity of Bergman, Szegö and Sobolev Space Projections in Non Pseudoconvex Domains.
Exact regularity of the Bergman and Szegö projections on domains with partially transverse symmetries.
Example of a sequentially incomplete regular inductive limit of Banach spaces.
Examples of convex functions and classifications of normed spaces.
Examples of infinitely generated function algebras
Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
Examples of k-iterated spreading models
It is shown that for every k ∈ ℕ and every spreading sequence eₙₙ that generates a uniformly convex Banach space E, there exists a uniformly convex Banach space admitting eₙₙ as a k+1-iterated spreading model, but not as a k-iterated one.
Examples of nuclear systems
Examples of separable spaces which do not contain and whose duals are non-separable
Examples on Projective Spectra of (LB)-spaces.
Exceptional sets for solutions to quasilinear parabolic equations in weighted Sobolev spaces.
Exceptional sets with respect to Lebesgue differentiation of functions in Sobolev spaces
Excision in entire cyclic cohomology
We prove that entire and periodic cyclic cohomology satisfy excision for extensions of bornological algebras with a bounded linear section. That is, for such an extension we obtain a six term exact sequence in cohomology.