Complemented subspaces of sums and products of copies of L1[0, 1].
We prove that the direct sum and the product of countably many copies of L1[0, 1] are primary locally convex spaces. We also give some related results.
Complete Spaces of Vector-Valued Holomorphic Germs.
Completeness of regular inductive limits.
Connected subgroups of nuclear spaces
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
Continous Norms on Locally Convex Strict Inductive Limit Spaces.
Countably determined locally convex spaces
Counterexample to a Conjecture of Grothendieck.
Counterexamples in Holomorphic Functions on Nuclear Fréchet Spaces.
Deformation quantization and Borel's theorem in locally convex spaces
It is well known that one can often construct a star-product by expanding the product of two Toeplitz operators asymptotically into a series of other Toeplitz operators multiplied by increasing powers of the Planck constant h. This is the Berezin-Toeplitz quantization. We show that one can obtain in a similar way in fact any star-product which is equivalent to the Berezin-Toeplitz star-product, by using instead of Toeplitz operators other suitable mappings from compactly supported smooth functions...
Description lagrangienne d'un boson scalaire à l'aide d'un triplet nucléaire
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...
Die Nuklearität der Ultradistributionsräume und der Satz vom Kern II.
Die richtigen Räume für Analysis im Unendlich-Dimensionalen.
Dual characterization of the Dieudonné-Schwartz theorem on bounded sets.
Duality of tensor products of converge-free spaces.
Duals to weighted spaces of analytic functions.
Each Schwartz Fréchet space is a subspace of a Schwartz Fréchet space with an unconditional basis
Ein Schwach-Stark-Prinzip der Dualitätstheorie lokalkonvexer Räume als Fortsetzungsmethode.
Eine Charakterisierung der Potenzreihenräume von endlichem Typ und ihre Folgerungen.