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
Density conditions in Fréchet and (DF)-spaces.
We survey our main results on the density condition for Fréchet spaces and on the dual density condition for (DF)-spaces (cf. Bierstedt and Bonet (1988)) as well as some recent developments.
Der induktive Limes von abzählbar vielen FH-Räumen. Vereinigungsverfahren..
Deux espaces de Banach et leurs modèles étalés
Deviation from weak Banach–Saks property for countable direct sums
We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach-Saks property. We prove that if (Xν) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach-Saks property, then the deviation from the weak Banach-Saks property of an operator of a certain class between direct sums E(Xν) is equal to the supremum of such deviations attained on the coordinates Xν. This is a quantitative version for operators of the result...
Diagonal and Convolution Operators as Elements of Operator Ideals.
Diagonal mappings between sequence spaces
Diagonal operators on spaces of measurable functions.
Diagonal operators on spaces of measurable functions
Diametral dimension of some pseudoconvex multiscale spaces
Stemming from the study of signals via wavelet coefficients, the spaces are complete metrizable and separable topological vector spaces, parametrized by a function ν, whose elements are sequences indexed by a binary tree. Several papers were devoted to their basic topology; recently it was also shown that depending on ν, may be locally convex, locally p-convex for some p > 0, or not at all, but under a minor condition these spaces are always pseudoconvex. We deal with some more sophisticated...
Diametral dimensions of Cartesian products, stability of smooth sequence spaces and applications.
Dichotomies pour les espaces de suites réelles
There is a general conjecture, the dichotomy (C) about Borel equivalence relations E: (i) E is Borel reducible to the equivalence relation where X is a Polish space, and a Polish group acting continuously on X; or (ii) a canonical relation is Borel reducible to E. (C) is only proved for special cases as in [So]. In this paper we make a contribution to the study of (C): a stronger conjecture is true for hereditary subspaces of the Polish space of real sequences, i.e., subspaces such that ...
Die Metrische Struktur der Sonnen in l...(n).
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern II.