Complemented Infinite Type Power Series Subspaces of Nuclear Fréchet Spaces.
Complemented subspaces in tame power series spaces
Complemented subspaces with a strong finite-dimensional decomposition of nuclear Köthe spaces have a basis
The following result is proved: Let E be a complemented subspace with an r-finite-dimensional decomposition of a nuclear Köthe space λ(A). Then E has a basis.
Completeness of spaces wth Toeplitz decompositions
Complex preduals of L... and subspaces of l...(C).
Compound invariants and embeddings of Cartesian products
New compound geometric invariants are constructed in order to characterize complemented embeddings of Cartesian products of power series spaces. Bessaga's conjecture is proved for the same class of spaces.
Concrete subspaces of nuclear Fréchet spaces
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
Consistency and inclusion results for Toeplitz matrices of bounded linear operators
Consistency theory in semiconservative spaces
Construction of standard exact sequences of power series spaces
The following result is proved: Let denote a power series space of infinite or of finite type, and equip with its canonical fundamental system of norms, R ∈ 0,∞, 1 ≤ p < ∞. Then a tamely exact sequence (⁎) exists iff α is strongly stable, i.e. , and a linear-tamely exact sequence (*) exists iff α is uniformly stable, i.e. there is A such that for all K. This result extends a theorem of Vogt and Wagner which states that a topologically exact sequence (*) exists iff α is stable, i.e. .
Convergent and Bounded Cesàro Sections in FK-Spaces.
Convexités dans les espaces vectoriels topologiques généraux [Book]
Convolution of Nörlund methods in non-archimedean fields
Correction to the paper: Support functionals and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm