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Displaying similar documents to “P-adic Spaces of Continuous Functions I”

P-adic Spaces of Continuous Functions II

Athanasios Katsaras (2008)

Annales mathématiques Blaise Pascal

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Necessary and sufficient conditions are given so that the space C ( X , E ) of all continuous functions from a zero-dimensional topological space X to a non-Archimedean locally convex space E , equipped with the topology of uniform convergence on the compact subsets of X , to be polarly absolutely quasi-barrelled, polarly ℵ o -barrelled, polarly ℓ ∞ -barrelled or polarly c o -barrelled. Also, tensor products of spaces of continuous functions as well as tensor products of certain E ′ -valued measures are investigated. ...

On convolution operators with small support which are far from being convolution by a bounded measure

Edmond Granirer (1994)

Colloquium Mathematicae

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Let C V p ( F ) be the left convolution operators on L p ( G ) with support included in F and M p ( F ) denote those which are norm limits of convolution by bounded measures in M(F). Conditions on F are given which insure that C V p ( F ) , C V p ( F ) / M p ( F ) and C V p ( F ) / W are as big as they can be, namely have l ∞ as a quotient, where the ergodic space W contains, and at times is very big relative to M p ( F ) . Other subspaces of C V p ( F ) are considered. These improve results of Cowling and Fournier, Price and Edwards, Lust-Piquard, and others.